Atkin-Lehner |
5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
123725v |
Isogeny class |
Conductor |
123725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2479680 |
Modular degree for the optimal curve |
Δ |
-3822574238713671875 = -1 · 58 · 713 · 101 |
Discriminant |
Eigenvalues |
2 0 5- 7- 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,336875,-56434219] |
[a1,a2,a3,a4,a6] |
Generators |
[49952196:1825838731:46656] |
Generators of the group modulo torsion |
j |
91998720000/83177843 |
j-invariant |
L |
14.83479116727 |
L(r)(E,1)/r! |
Ω |
0.13625431993781 |
Real period |
R |
9.0729790758313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123725h1 17675l1 |
Quadratic twists by: 5 -7 |