Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
61600ba |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
14907200000000 = 212 · 58 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- -1 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6333,58037] |
[a1,a2,a3,a4,a6] |
j |
17559040/9317 |
j-invariant |
L |
3.6866640177115 |
L(r)(E,1)/r! |
Ω |
0.61444400317331 |
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 |
61600bt1 123200dg1 61600bk1 |
Quadratic twists by: -4 8 5 |