Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dk |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.5430979681509E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27165963,-46367463238] |
[a1,a2,a3,a4,a6] |
Generators |
[95311:29380050:1] |
Generators of the group modulo torsion |
j |
742525803457216841161/118657634071410000 |
j-invariant |
L |
4.3282197987378 |
L(r)(E,1)/r! |
Ω |
0.066843178868966 |
Real period |
R |
8.0939818256073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710bb3 28560cu4 |
Quadratic twists by: -4 -3 |