Atkin-Lehner |
2- 3- 7+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378bk |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
288918306432 = 27 · 38 · 73 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 0 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17222,-865195] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:55:1] |
Generators of the group modulo torsion |
j |
774860097633049/396321408 |
j-invariant |
L |
6.4249799416776 |
L(r)(E,1)/r! |
Ω |
0.41676761122597 |
Real period |
R |
1.1011583499913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126h1 |
Quadratic twists by: -3 |