Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bg |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
4869536256000 = 212 · 32 · 53 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14776,-678224] |
[a1,a2,a3,a4,a6] |
j |
87109155423289/1188851625 |
j-invariant |
L |
1.7335109477344 |
L(r)(E,1)/r! |
Ω |
0.43337776793217 |
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 |
7215g1 |
Quadratic twists by: -4 |