Atkin-Lehner |
2- 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130cg |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
164 |
Product of Tamagawa factors cp |
deg |
19365120 |
Modular degree for the optimal curve |
Δ |
2.9883379003769E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17988251,13052534249] |
[a1,a2,a3,a4,a6] |
Generators |
[-2701:206150:1] |
Generators of the group modulo torsion |
j |
13136947075206649213094401/6098648776279326720000 |
j-invariant |
L |
9.5251662128783 |
L(r)(E,1)/r! |
Ω |
0.08686327341485 |
Real period |
R |
0.6686402614747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116130df1 |
Quadratic twists by: -7 |