Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125736r |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7015680 |
Modular degree for the optimal curve |
Δ |
-3.2802969783556E+20 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 0 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8067440,8865290316] |
[a1,a2,a3,a4,a6] |
Generators |
[-20806:885391:8] |
Generators of the group modulo torsion |
j |
-5874094542556658/33183569289 |
j-invariant |
L |
3.575125724314 |
L(r)(E,1)/r! |
Ω |
0.17228622025157 |
Real period |
R |
1.7292569480299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9672b1 |
Quadratic twists by: 13 |