Atkin-Lehner |
2- 3+ 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
113712i |
Isogeny class |
Conductor |
113712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1038336 |
Modular degree for the optimal curve |
Δ |
247526272991232 = 216 · 313 · 23 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -4 5 -5 3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31600,-2014784] |
[a1,a2,a3,a4,a6] |
j |
851998353404401/60431218992 |
j-invariant |
L |
0.71935530212443 |
L(r)(E,1)/r! |
Ω |
0.35967806444034 |
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 |
14214h1 |
Quadratic twists by: -4 |