Atkin-Lehner |
2+ 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5952p |
Isogeny class |
Conductor |
5952 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-21371546704896 = -1 · 210 · 36 · 315 |
Discriminant |
Eigenvalues |
2+ 3- -3 5 -4 2 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3743,-202969] |
[a1,a2,a3,a4,a6] |
j |
5661965297408/20870651079 |
j-invariant |
L |
2.0752449751 |
L(r)(E,1)/r! |
Ω |
0.34587416251667 |
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 |
5952z1 744d1 17856u1 |
Quadratic twists by: -4 8 -3 |