Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960db |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
877547520 = 212 · 34 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 1 6 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-245,-477] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
753664/405 |
j-invariant |
L |
9.8186257162314 |
L(r)(E,1)/r! |
Ω |
1.2839230937557 |
Real period |
R |
1.911840702553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7935e1 126960cn1 |
Quadratic twists by: -4 -23 |