Atkin-Lehner |
2- 3- 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
113526bc |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
176629200048 = 24 · 36 · 75 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 3 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33329,-2333519] |
[a1,a2,a3,a4,a6] |
j |
5616306719736777/242289712 |
j-invariant |
L |
7.0668540396702 |
L(r)(E,1)/r! |
Ω |
0.35334270222654 |
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 |
12614d1 |
Quadratic twists by: -3 |