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	246g	Isogeny class
Conductor	246	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	44	Modular degree for the optimal curve
Δ	-251904 = -1 · 211 · 3 · 41	Discriminant
Eigenvalues	2+ 3+  3 -2  2  1  5 -1	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-41,-123]	[a1,a2,a3,a4,a6]
j	-7916293657/251904	j-invariant
L	0.93862059140247	L(r)(E,1)/r!
Ω	0.93862059140247	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1968o1 7872q1 738f1 6150bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 246g1

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
+	+	3	-2	2	1	5	-1	6	8	3	-6	-	-4	-12	-14	3	10	-7	-3	1	12	7	-15	-10

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Quadratic twists for elliptic curve 246g1

-4	8	-3	5	-7	-11	13	17	-19	41
1968o1	7872q1	738f1	6150bc1	12054n1	29766bc1	41574m1	71094g1	88806u1	10086k1

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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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