Atkin-Lehner |
2- 5+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550br |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-2430923492550437500 = -1 · 22 · 56 · 73 · 118 · 232 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-149513,-78257483] |
[a1,a2,a3,a4,a6] |
j |
-23655968592999625/155579103523228 |
j-invariant |
L |
1.7292562245745 |
L(r)(E,1)/r! |
Ω |
0.10807851035692 |
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 |
3542g1 |
Quadratic twists by: 5 |