Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360ha |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
9.6634980508839E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2475496,101611124] |
[a1,a2,a3,a4,a6] |
Generators |
[-1090:38808:1] |
Generators of the group modulo torsion |
j |
3481467828171481/2005331497785 |
j-invariant |
L |
7.5183404676763 |
L(r)(E,1)/r! |
Ω |
0.13344426243023 |
Real period |
R |
0.29344104193091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999647373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8085f1 18480cf1 |
Quadratic twists by: -4 -7 |