Atkin-Lehner |
2+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3770c |
Isogeny class |
Conductor |
3770 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1320 |
Modular degree for the optimal curve |
Δ |
-9425000 = -1 · 23 · 55 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 4 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-538,-4844] |
[a1,a2,a3,a4,a6] |
j |
-17175508997401/9425000 |
j-invariant |
L |
2.47871413813 |
L(r)(E,1)/r! |
Ω |
0.495742827626 |
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 |
30160bd1 120640c1 33930z1 18850q1 |
Quadratic twists by: -4 8 -3 5 |