Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650b |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
359336250000 = 24 · 35 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-748650,-249637500] |
[a1,a2,a3,a4,a6] |
j |
2969894891179808929/22997520 |
j-invariant |
L |
1.2984336411397 |
L(r)(E,1)/r! |
Ω |
0.16230420514246 |
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 |
109200gg1 40950dv1 2730ba1 95550di1 |
Quadratic twists by: -4 -3 5 -7 |