Atkin-Lehner |
2- 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53998k |
Isogeny class |
Conductor |
53998 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
713664 |
Modular degree for the optimal curve |
Δ |
-111865741552398316 = -1 · 22 · 78 · 193 · 294 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 5 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,116913,-4663135] |
[a1,a2,a3,a4,a6] |
j |
30656853177167/19404961516 |
j-invariant |
L |
4.5946662315435 |
L(r)(E,1)/r! |
Ω |
0.19144442645491 |
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 |
53998o1 |
Quadratic twists by: -7 |