Atkin-Lehner |
2- 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
125316d |
Isogeny class |
Conductor |
125316 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
626400 |
Modular degree for the optimal curve |
Δ |
-29027630918928816 = -1 · 24 · 36 · 597 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -2 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41772,8831297] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:-3481:1] [10795:302798:125] |
Generators of the group modulo torsion |
j |
-16384/59 |
j-invariant |
L |
11.578025484577 |
L(r)(E,1)/r! |
Ω |
0.32636208654928 |
Real period |
R |
2.9563343812431 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13924b1 2124a1 |
Quadratic twists by: -3 -59 |