Atkin-Lehner |
2- 3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778v |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
570 |
Product of Tamagawa factors cp |
deg |
82080 |
Modular degree for the optimal curve |
Δ |
-18892544408027136 = -1 · 219 · 33 · 72 · 11 · 195 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53417,-8147751] |
[a1,a2,a3,a4,a6] |
Generators |
[2458:-122525:1] |
Generators of the group modulo torsion |
j |
-16856317425118992913/18892544408027136 |
j-invariant |
L |
6.292323249919 |
L(r)(E,1)/r! |
Ω |
0.15043560742723 |
Real period |
R |
0.073381320986052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70224bu1 26334p1 61446ce1 96558bi1 |
Quadratic twists by: -4 -3 -7 -11 |