Atkin-Lehner |
2+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30160d |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
1960400 = 24 · 52 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 6 13- -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31,6] |
[a1,a2,a3,a4,a6] |
Generators |
[138:525:8] |
Generators of the group modulo torsion |
j |
212629504/122525 |
j-invariant |
L |
7.8005240657569 |
L(r)(E,1)/r! |
Ω |
2.1980544387777 |
Real period |
R |
3.548831151832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15080h1 120640co1 |
Quadratic twists by: -4 8 |