Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840bu |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
1141418169548800 = 214 · 52 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 11- 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26176,-131276] |
[a1,a2,a3,a4,a6] |
Generators |
[282:-3872:1] [-21:640:1] |
Generators of the group modulo torsion |
j |
2259169/1300 |
j-invariant |
L |
11.32327681551 |
L(r)(E,1)/r! |
Ω |
0.40834803957179 |
Real period |
R |
1.1553947978723 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730v1 125840bh1 |
Quadratic twists by: -4 -11 |