Atkin-Lehner |
2- 5- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
75920m |
Isogeny class |
Conductor |
75920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37248 |
Modular degree for the optimal curve |
Δ |
-505323520 = -1 · 213 · 5 · 132 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- -2 2 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1840,-31020] |
[a1,a2,a3,a4,a6] |
j |
-168288035761/123370 |
j-invariant |
L |
1.457760998213 |
L(r)(E,1)/r! |
Ω |
0.36444025529404 |
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 |
9490j1 |
Quadratic twists by: -4 |