Cremona's table of elliptic curves

246 = 2 · 3 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 41-	Signs for the Atkin-Lehner involutions
Class	246b	Isogeny class
Conductor	246	Conductor
∏ cp	125	Product of Tamagawa factors cp
deg	300	Modular degree for the optimal curve
Δ	-334302806016 = -1 · 225 · 35 · 41	Discriminant
Eigenvalues	2- 3-  1 -2  2 -1 -7  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-175,-27847]	[a1,a2,a3,a4,a6]
j	-592915705201/334302806016	j-invariant
L	2.1629159655212	L(r)(E,1)/r!
Ω	0.43258319310424	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	1968h1 7872f1 738b1 6150e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 246b1

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	-1	-7	5	-6	0	7	-2	-	4	-12	-6	5	2	3	-3	9	0	9	5	-2

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Quadratic twists for elliptic curve 246b1

-4	8	-3	5	-7	-11	13	17	-19	41
1968h1	7872f1	738b1	6150e1	12054z1	29766q1	41574g1	71094p1	88806b1	10086m1

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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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