Atkin-Lehner |
2- 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
113300g |
Isogeny class |
Conductor |
113300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
472320 |
Modular degree for the optimal curve |
Δ |
-9736718750000 = -1 · 24 · 511 · 112 · 103 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 11- 6 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,200,150125] |
[a1,a2,a3,a4,a6] |
j |
3538944/38946875 |
j-invariant |
L |
9.1651258300592 |
L(r)(E,1)/r! |
Ω |
0.57282030102055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22660b1 |
Quadratic twists by: 5 |