Atkin-Lehner |
3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
91575f |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
4631348390625 = 39 · 56 · 11 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 11+ -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-211992,-37515709] |
[a1,a2,a3,a4,a6] |
j |
3425878546875/15059 |
j-invariant |
L |
1.7799576210451 |
L(r)(E,1)/r! |
Ω |
0.2224947179057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91575n1 3663a1 |
Quadratic twists by: -3 5 |