Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040q |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
810304588628640000 = 28 · 316 · 54 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-280047,-37122514] |
[a1,a2,a3,a4,a6] |
j |
13015144447800784/4341909875625 |
j-invariant |
L |
2.5572304915824 |
L(r)(E,1)/r! |
Ω |
0.2131025409652 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2520q2 20160ea2 1680b2 25200w2 |
Quadratic twists by: -4 8 -3 5 |