Atkin-Lehner |
2+ 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
31150d |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-152635000000 = -1 · 26 · 57 · 73 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -1 2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1250,-7500] |
[a1,a2,a3,a4,a6] |
j |
13806727199/9768640 |
j-invariant |
L |
2.3156740724771 |
L(r)(E,1)/r! |
Ω |
0.57891851811954 |
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 |
6230h1 |
Quadratic twists by: 5 |