Cremona's table of elliptic curves

121275 = 3² · 5² · 7² · 11

Field	Data	Notes
Atkin-Lehner	3+ 5- 7- 11+	Signs for the Atkin-Lehner involutions
Class	121275bw	Isogeny class
Conductor	121275	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2350080	Modular degree for the optimal curve
Δ	2507237455078125 = 39 · 59 · 72 · 113	Discriminant
Eigenvalues	2 3+ 5- 7- 11+ -1  8  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-1015875,394094531]	[a1,a2,a3,a4,a6]
Generators	[14714400:174811991:32768]	Generators of the group modulo torsion
j	61549867008/1331	j-invariant
L	14.582726732299	L(r)(E,1)/r!
Ω	0.42241605228183	Real period
R	8.6305471958133	Regulator
r	1	Rank of the group of rational points
S	1.0000000020812	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	121275ch1 121275bz1 121275bl1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 121275bw1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
2	+	-	-	+	-1	8	6	-3	1	-8	-10	7	-13	9	9	2	-4	-4	4	6	4	4	0	-16

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Quadratic twists for elliptic curve 121275bw1

-3	5	-7
121275ch1	121275bz1	121275bl1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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