Atkin-Lehner |
3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
96195g |
Isogeny class |
Conductor |
96195 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-8485264755 = -1 · 37 · 5 · 114 · 53 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 11- -4 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,444,2441] |
[a1,a2,a3,a4,a6] |
Generators |
[538:4605:8] |
Generators of the group modulo torsion |
j |
659664896/579555 |
j-invariant |
L |
10.62772175191 |
L(r)(E,1)/r! |
Ω |
0.85047824932048 |
Real period |
R |
4.1653903847211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96195h1 |
Quadratic twists by: -11 |