Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680en |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
-3.2241788065937E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75963,863945962] |
[a1,a2,a3,a4,a6] |
Generators |
[479:-30618:1] |
Generators of the group modulo torsion |
j |
-16234636151161/107977095878400 |
j-invariant |
L |
6.9704462222113 |
L(r)(E,1)/r! |
Ω |
0.13747574448074 |
Real period |
R |
1.2675774637087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710y1 28560dz1 |
Quadratic twists by: -4 -3 |