Atkin-Lehner |
2+ 3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
65550ba |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
9580032 |
Modular degree for the optimal curve |
Δ |
-2.2919875311469E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9351999,72003228148] |
[a1,a2,a3,a4,a6] |
Generators |
[-3418:12171:1] |
Generators of the group modulo torsion |
j |
5789180732349220254719/146687201993401228800 |
j-invariant |
L |
6.4944297778527 |
L(r)(E,1)/r! |
Ω |
0.061519819099444 |
Real period |
R |
4.7984756433979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110ba1 |
Quadratic twists by: 5 |