Atkin-Lehner |
2- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77740m |
Isogeny class |
Conductor |
77740 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
2243912067326800 = 24 · 52 · 139 · 232 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35152,-1113879] |
[a1,a2,a3,a4,a6] |
j |
28311552/13225 |
j-invariant |
L |
2.1886962848754 |
L(r)(E,1)/r! |
Ω |
0.36478270859358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77740e1 |
Quadratic twists by: 13 |