Atkin-Lehner |
2- 3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130cs |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
493414258848000 = 28 · 3 · 53 · 77 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23325,849267] |
[a1,a2,a3,a4,a6] |
Generators |
[27:476:1] |
Generators of the group modulo torsion |
j |
11928932826049/4193952000 |
j-invariant |
L |
10.533814049932 |
L(r)(E,1)/r! |
Ω |
0.48072813792719 |
Real period |
R |
0.91300859272334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999557028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590v1 |
Quadratic twists by: -7 |