Atkin-Lehner |
2- 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
125316l |
Isogeny class |
Conductor |
125316 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1461600 |
Modular degree for the optimal curve |
Δ |
-29027630918928816 = -1 · 24 · 36 · 597 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 6 4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-292404,61408321] |
[a1,a2,a3,a4,a6] |
j |
-5619712/59 |
j-invariant |
L |
2.2477254462591 |
L(r)(E,1)/r! |
Ω |
0.37462065015337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13924a1 2124c1 |
Quadratic twists by: -3 -59 |