Atkin-Lehner |
2- 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948bm |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
3118803459408 = 24 · 32 · 78 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11237,-454308] |
[a1,a2,a3,a4,a6] |
j |
83369132032/1656837 |
j-invariant |
L |
2.7855386939582 |
L(r)(E,1)/r! |
Ω |
0.46425676053792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18564a1 |
Quadratic twists by: -7 |