Cremona's table of elliptic curves

2254 = 2 · 7² · 23

Field	Data	Notes
Atkin-Lehner	2+ 7- 23-	Signs for the Atkin-Lehner involutions
Class	2254b	Isogeny class
Conductor	2254	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	636699211246 = 2 · 712 · 23	Discriminant
Eigenvalues	2+  0  2 7- -4 -4  8  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-11671,-480873]	[a1,a2,a3,a4,a6]
Generators	[151:1012:1]	Generators of the group modulo torsion
j	1494447319737/5411854	j-invariant
L	2.4632903753012	L(r)(E,1)/r!
Ω	0.45942579238178	Real period
R	5.3616719308049	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	18032p2 72128l2 20286cf2 56350bh2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2254b2

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

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Quadratic twists for elliptic curve 2254b2

-4	8	-3	5	-7	-23
18032p2	72128l2	20286cf2	56350bh2	322a2	51842c2

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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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