Atkin-Lehner |
2- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78292g |
Isogeny class |
Conductor |
78292 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
481536 |
Modular degree for the optimal curve |
Δ |
741761652581632 = 28 · 238 · 37 |
Discriminant |
Eigenvalues |
2- -1 0 5 5 -4 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49373,-3997751] |
[a1,a2,a3,a4,a6] |
j |
351232000/19573 |
j-invariant |
L |
1.9283414000732 |
L(r)(E,1)/r! |
Ω |
0.32139023208094 |
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 |
3404a1 |
Quadratic twists by: -23 |