Atkin-Lehner |
2- 3+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
91656i |
Isogeny class |
Conductor |
91656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
487498466304 = 210 · 39 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1971,2430] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:190:1] |
Generators of the group modulo torsion |
j |
42013836/24187 |
j-invariant |
L |
4.0692509293515 |
L(r)(E,1)/r! |
Ω |
0.79483639162649 |
Real period |
R |
2.5598041149079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91656c1 |
Quadratic twists by: -3 |