Atkin-Lehner |
2- 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
125800h |
Isogeny class |
Conductor |
125800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1130496 |
Modular degree for the optimal curve |
Δ |
98281250000 = 24 · 510 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3276050,2282306125] |
[a1,a2,a3,a4,a6] |
j |
15553755505101920256/393125 |
j-invariant |
L |
1.11835596063 |
L(r)(E,1)/r! |
Ω |
0.55917863720709 |
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 |
25160e1 |
Quadratic twists by: 5 |