Atkin-Lehner |
2- 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720cb |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
4961280 |
Modular degree for the optimal curve |
Δ |
-3.2226971067745E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82638416,-289177435116] |
[a1,a2,a3,a4,a6] |
j |
-15237359766831865024183249/78679128583361250 |
j-invariant |
L |
1.702483222148 |
L(r)(E,1)/r! |
Ω |
0.025036517975187 |
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 |
6090t1 |
Quadratic twists by: -4 |