Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5328t |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-23863984128 = -1 · 215 · 39 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 1 3 -1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285,-7198] |
[a1,a2,a3,a4,a6] |
j |
857375/7992 |
j-invariant |
L |
2.3705952104401 |
L(r)(E,1)/r! |
Ω |
0.59264880261002 |
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 |
666c1 21312bp1 1776g1 |
Quadratic twists by: -4 8 -3 |