Cremona's table of elliptic curves

442 = 2 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 13+ 17+	Signs for the Atkin-Lehner involutions
Class	442a	Isogeny class
Conductor	442	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	3321188 = 22 · 132 · 173	Discriminant
Eigenvalues	2-  0  2  4 -2 13+ 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-94,361]	[a1,a2,a3,a4,a6]
j	90942871473/3321188	j-invariant
L	2.4942559031384	L(r)(E,1)/r!
Ω	2.4942559031384	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	3536f1 14144f1 3978e1 11050h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 442a1

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	-2	+	+	0	2	8	-8	-6	12	4	-8	-6	-4	-8	-8	-8	8	-10	0	6	-16

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Quadratic twists for elliptic curve 442a1

-4	8	-3	5	-7	-11	13	17
3536f1	14144f1	3978e1	11050h1	21658bc1	53482d1	5746a1	7514e1

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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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