Cremona's table of elliptic curves

1908 = 2² · 3² · 53

Field	Data	Notes
Atkin-Lehner	2- 3- 53-	Signs for the Atkin-Lehner involutions
Class	1908b	Isogeny class
Conductor	1908	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-524226816 = -1 · 28 · 36 · 532	Discriminant
Eigenvalues	2- 3- -2  0  4 -2 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-111,1190]	[a1,a2,a3,a4,a6]
j	-810448/2809	j-invariant
L	1.4435863216127	L(r)(E,1)/r!
Ω	1.4435863216127	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	7632p2 30528l2 212b1 47700c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1908b2

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	0	4	-2	-2	2	2	-2	2	10	-2	-4	12	-	12	10	-2	-6	10	10	6	10	14

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Quadratic twists for elliptic curve 1908b2

-4	8	-3	5	-7	53
7632p2	30528l2	212b1	47700c2	93492z2	101124l2

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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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