Atkin-Lehner |
2+ 3+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
91512c |
Isogeny class |
Conductor |
91512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
488448 |
Modular degree for the optimal curve |
Δ |
6154605151488 = 28 · 39 · 313 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 2 3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-298404,62741412] |
[a1,a2,a3,a4,a6] |
j |
583185040966656/1221431 |
j-invariant |
L |
5.1974555543318 |
L(r)(E,1)/r! |
Ω |
0.64968193857758 |
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 |
91512f1 |
Quadratic twists by: -3 |