Atkin-Lehner |
2- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30160bd |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-38604800000 = -1 · 215 · 55 · 13 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- -4 -4 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8600,310000] |
[a1,a2,a3,a4,a6] |
Generators |
[60:80:1] |
Generators of the group modulo torsion |
j |
-17175508997401/9425000 |
j-invariant |
L |
3.06020395234 |
L(r)(E,1)/r! |
Ω |
1.1374242212957 |
Real period |
R |
0.13452342121103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3770c1 120640bu1 |
Quadratic twists by: -4 8 |