Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200gf |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-120878223750000 = -1 · 24 · 39 · 57 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 3 -2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19425,-1168625] |
[a1,a2,a3,a4,a6] |
j |
-4447738624/663255 |
j-invariant |
L |
4.8131226505901 |
L(r)(E,1)/r! |
Ω |
0.20054677685222 |
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 |
15300z1 20400dg1 12240cd1 |
Quadratic twists by: -4 -3 5 |