Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150l |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-11601176602500000 = -1 · 25 · 38 · 57 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 1 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,52125,-2401875] |
[a1,a2,a3,a4,a6] |
j |
1417218719/1049760 |
j-invariant |
L |
2.7066806052822 |
L(r)(E,1)/r! |
Ω |
0.22555675747721 |
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 |
25230bb1 126150cy1 |
Quadratic twists by: 5 29 |