Atkin-Lehner |
2- 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46512t |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-123302404228644864 = -1 · 226 · 39 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 -2 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,123957,-1803654] |
[a1,a2,a3,a4,a6] |
j |
2612676520917/1529397248 |
j-invariant |
L |
2.3361474774171 |
L(r)(E,1)/r! |
Ω |
0.19467895642529 |
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 |
5814n1 46512p1 |
Quadratic twists by: -4 -3 |