Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107448o |
Isogeny class |
Conductor |
107448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
34609215696 = 24 · 3 · 117 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49287,-4195200] |
[a1,a2,a3,a4,a6] |
j |
467147020288/1221 |
j-invariant |
L |
1.2816687206185 |
L(r)(E,1)/r! |
Ω |
0.32041717892752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768a1 |
Quadratic twists by: -11 |