Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
120516k |
Isogeny class |
Conductor |
120516 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1867710645024048 = -1 · 24 · 38 · 118 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32589,-3085128] |
[a1,a2,a3,a4,a6] |
Generators |
[264:2604:1] |
Generators of the group modulo torsion |
j |
-135043612672/65892123 |
j-invariant |
L |
6.9014920366224 |
L(r)(E,1)/r! |
Ω |
0.17362873077454 |
Real period |
R |
4.9685700030266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013769 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10956c1 |
Quadratic twists by: -11 |