Atkin-Lehner |
2+ 3- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
97128c |
Isogeny class |
Conductor |
97128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-43050237696 = -1 · 28 · 38 · 192 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 2 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-471,10730] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:108:1] |
Generators of the group modulo torsion |
j |
-61918288/230679 |
j-invariant |
L |
7.634521481047 |
L(r)(E,1)/r! |
Ω |
0.99775184244424 |
Real period |
R |
1.912930941651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32376d1 |
Quadratic twists by: -3 |