Atkin-Lehner |
2- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
69680z |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-22646000 = -1 · 24 · 53 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 1 5- 3 0 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,70,-25] |
[a1,a2,a3,a4,a6] |
Generators |
[10:65:8] |
Generators of the group modulo torsion |
j |
2337108224/1415375 |
j-invariant |
L |
9.1050004765246 |
L(r)(E,1)/r! |
Ω |
1.2435485324517 |
Real period |
R |
1.2202982349278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420h1 |
Quadratic twists by: -4 |