Atkin-Lehner |
2+ 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37488j |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
144626816420418816 = 28 · 34 · 117 · 713 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 11+ -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161161,16838291] |
[a1,a2,a3,a4,a6] |
j |
1808282594853182464/564948501642261 |
j-invariant |
L |
1.207616532235 |
L(r)(E,1)/r! |
Ω |
0.30190413305379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18744a1 112464l1 |
Quadratic twists by: -4 -3 |