Cremona's table of elliptic curves

1474 = 2 · 11 · 67

Field	Data	Notes
Atkin-Lehner	2- 11+ 67+	Signs for the Atkin-Lehner involutions
Class	1474a	Isogeny class
Conductor	1474	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	240	Modular degree for the optimal curve
Δ	47168 = 26 · 11 · 67	Discriminant
Eigenvalues	2-  0  4  4 11+ -2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-13,-11]	[a1,a2,a3,a4,a6]
j	225866529/47168	j-invariant
L	3.850317433856	L(r)(E,1)/r!
Ω	2.5668782892373	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11792c1 47168e1 13266j1 36850b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1474a1

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

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Quadratic twists for elliptic curve 1474a1

-4	8	-3	5	-7	-11	-67
11792c1	47168e1	13266j1	36850b1	72226i1	16214c1	98758b1

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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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