Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530x |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12545280 |
Modular degree for the optimal curve |
Δ |
3.4208339582592E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- -1 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11378359,11791184282] |
[a1,a2,a3,a4,a6] |
j |
760013090009670409/159584428800000 |
j-invariant |
L |
1.3201106299218 |
L(r)(E,1)/r! |
Ω |
0.11000926505424 |
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 |
112530ct1 |
Quadratic twists by: -11 |