Cremona's table of elliptic curves

121086 = 2 · 3² · 7 · 31²

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 31-	Signs for the Atkin-Lehner involutions
Class	121086bn	Isogeny class
Conductor	121086	Conductor
∏ cp	128	Product of Tamagawa factors cp
deg	2949120	Modular degree for the optimal curve
Δ	-2264320716270407424 = -1 · 28 · 38 · 72 · 317	Discriminant
Eigenvalues	2- 3-  2 7- -6 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-272624,90860883]	[a1,a2,a3,a4,a6]
Generators	[-519:9869:1]	Generators of the group modulo torsion
j	-3463512697/3499776	j-invariant
L	11.339809885782	L(r)(E,1)/r!
Ω	0.23614806824627	Real period
R	1.5006223129767	Regulator
r	1	Rank of the group of rational points
S	0.99999999591953	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	40362i1 3906t1	Quadratic twists by: -3 -31

Hecke Eigenvalues for elliptic curve 121086bn1

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	-	-6	-4	0	-4	6	-10	-	2	10	-2	0	10	12	12	-8	-12	12	14	0	0	14

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Quadratic twists for elliptic curve 121086bn1

-3	-31
40362i1	3906t1

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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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