Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11858o |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
798336 |
Modular degree for the optimal curve |
Δ |
3.1002152082348E+19 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34287530,-77291208364] |
[a1,a2,a3,a4,a6] |
Generators |
[-1902156287877923003:678676919343543061:563375781551071] |
Generators of the group modulo torsion |
j |
73622481625/512 |
j-invariant |
L |
4.7467619049646 |
L(r)(E,1)/r! |
Ω |
0.06239010034032 |
Real period |
R |
25.360657535262 |
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 |
94864cy1 106722gj1 11858e1 11858bj1 |
Quadratic twists by: -4 -3 -7 -11 |