Cremona's table of elliptic curves

4108 = 2² · 13 · 79

Field	Data	Notes
Atkin-Lehner	2- 13- 79+	Signs for the Atkin-Lehner involutions
Class	4108a	Isogeny class
Conductor	4108	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-44432128 = -1 · 28 · 133 · 79	Discriminant
Eigenvalues	2-  2 -4  3 -2 13- -4  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5,-319]	[a1,a2,a3,a4,a6]
Generators	[19:78:1]	Generators of the group modulo torsion
j	-65536/173563	j-invariant
L	4.2435076866103	L(r)(E,1)/r!
Ω	0.91745035868723	Real period
R	0.51392519453856	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	16432l1 65728d1 36972d1 102700b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4108a1

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	-4	3	-2	-	-4	6	-3	-2	-4	-2	-5	-2	9	2	4	-6	-10	-8	-12	+	-6	0	-14

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Quadratic twists for elliptic curve 4108a1

-4	8	-3	5	13
16432l1	65728d1	36972d1	102700b1	53404d1

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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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