Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520g |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1169012736000 = -1 · 214 · 39 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 1 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31968,2200608] |
[a1,a2,a3,a4,a6] |
j |
-11203633152/3625 |
j-invariant |
L |
1.6983733743321 |
L(r)(E,1)/r! |
Ω |
0.84918668161613 |
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 |
83520do1 5220e1 83520m1 |
Quadratic twists by: -4 8 -3 |