Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520j |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
767232 |
Modular degree for the optimal curve |
Δ |
143871158432604160 = 213 · 5 · 378 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-219496,-35050000] |
[a1,a2,a3,a4,a6] |
j |
81289/10 |
j-invariant |
L |
1.3340839824397 |
L(r)(E,1)/r! |
Ω |
0.22234733617129 |
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 |
13690a1 109520u1 |
Quadratic twists by: -4 37 |