Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96900t |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
80977722671250000 = 24 · 34 · 57 · 17 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-515133,-141819012] |
[a1,a2,a3,a4,a6] |
Generators |
[-397:525:1] |
Generators of the group modulo torsion |
j |
60470375164542976/323910890685 |
j-invariant |
L |
7.2713606614135 |
L(r)(E,1)/r! |
Ω |
0.17826237795203 |
Real period |
R |
3.3991845588911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380g1 |
Quadratic twists by: 5 |