Atkin-Lehner |
2- 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830cg |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-38317856945328000 = -1 · 27 · 314 · 53 · 193 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 5 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25313,-9538383] |
[a1,a2,a3,a4,a6] |
j |
-2460429675405001/52562218032000 |
j-invariant |
L |
6.6102929440754 |
L(r)(E,1)/r! |
Ω |
0.15738790553196 |
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 |
41610g1 |
Quadratic twists by: -3 |