Atkin-Lehner |
2+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
37312i |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-239281856 = -1 · 26 · 113 · 532 |
Discriminant |
Eigenvalues |
2+ -1 1 -2 11+ 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-375,-2771] |
[a1,a2,a3,a4,a6] |
j |
-91368216064/3738779 |
j-invariant |
L |
1.0820705673012 |
L(r)(E,1)/r! |
Ω |
0.54103528365364 |
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 |
37312o1 18656c1 |
Quadratic twists by: -4 8 |