Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5208b |
Isogeny class |
Conductor |
5208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
1457906688 = 210 · 38 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-288,-324] |
[a1,a2,a3,a4,a6] |
j |
2588858500/1423737 |
j-invariant |
L |
1.2390222158589 |
L(r)(E,1)/r! |
Ω |
1.2390222158589 |
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 |
10416i1 41664bo1 15624u1 36456k1 |
Quadratic twists by: -4 8 -3 -7 |