Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
19920r |
Isogeny class |
Conductor |
19920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
3671654400 = 216 · 33 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-640,5300] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:96:1] |
Generators of the group modulo torsion |
j |
7088952961/896400 |
j-invariant |
L |
6.9155018406644 |
L(r)(E,1)/r! |
Ω |
1.3513927408639 |
Real period |
R |
0.85288577129243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2490g1 79680be1 59760x1 99600bl1 |
Quadratic twists by: -4 8 -3 5 |