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	121275en	Isogeny class
Conductor	121275	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	766166180136328125 = 39 · 58 · 77 · 112	Discriminant
Eigenvalues	-1 3- 5+ 7- 11- -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-33617430230,-2372429651687728]	[a1,a2,a3,a4,a6]
j	3135316978843283198764801/571725	j-invariant
L	0.35678611061473	L(r)(E,1)/r!
Ω	0.011149577910884	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	40425cg6 24255bs6 17325s5	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 121275en6

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
-1	-	+	-	-	-2	-2	-4	0	-6	0	-6	-6	4	0	-2	4	-6	-12	0	10	8	4	10	10

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Quadratic twists for elliptic curve 121275en6

-3	5	-7
40425cg6	24255bs6	17325s5

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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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