Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600fw |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
7321758454080000 = 29 · 34 · 54 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-500208,136272312] |
[a1,a2,a3,a4,a6] |
j |
153125000/81 |
j-invariant |
L |
2.4775510338439 |
L(r)(E,1)/r! |
Ω |
0.41292517538393 |
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 |
117600hr1 117600cx1 117600hk1 |
Quadratic twists by: -4 5 -7 |