Atkin-Lehner |
2+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30160g |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
2365026560 = 28 · 5 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -2 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3700,87840] |
[a1,a2,a3,a4,a6] |
Generators |
[1479:5824:27] |
Generators of the group modulo torsion |
j |
21888010612816/9238385 |
j-invariant |
L |
8.3545412374479 |
L(r)(E,1)/r! |
Ω |
1.4299817865111 |
Real period |
R |
5.8424109427515 |
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 |
15080i1 120640ce1 |
Quadratic twists by: -4 8 |