Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200gj |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
186995916800 = 214 · 52 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5013,-133363] |
[a1,a2,a3,a4,a6] |
j |
34020720640/456533 |
j-invariant |
L |
5.1104957075612 |
L(r)(E,1)/r! |
Ω |
0.56783295365292 |
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 |
123200i1 30800bo1 123200hf1 |
Quadratic twists by: -4 8 5 |