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	246d	Isogeny class
Conductor	246	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	212544 = 26 · 34 · 41	Discriminant
Eigenvalues	2+ 3+ -2  2 -4 -4 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-66,180]	[a1,a2,a3,a4,a6]
Generators	[3:3:1]	Generators of the group modulo torsion
j	32553430057/212544	j-invariant
L	1.0083093656707	L(r)(E,1)/r!
Ω	3.1765117808638	Real period
R	0.3174266098256	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1968l1 7872j1 738g1 6150bb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 246d1

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	2	-4	-4	-2	-8	4	-8	4	2	+	4	-2	4	12	-6	16	6	-2	-14	4	-6	-2

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Quadratic twists for elliptic curve 246d1

-4	8	-3	5	-7	-11	13	17	-19	41
1968l1	7872j1	738g1	6150bb1	12054s1	29766bl1	41574o1	71094n1	88806v1	10086j1

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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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