Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
86240bp |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1344000 |
Modular degree for the optimal curve |
Δ |
-8928523788800000 = -1 · 212 · 55 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11+ -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3339905,2348249903] |
[a1,a2,a3,a4,a6] |
Generators |
[1241:10780:1] |
Generators of the group modulo torsion |
j |
-174494569592896/378125 |
j-invariant |
L |
7.601795551787 |
L(r)(E,1)/r! |
Ω |
0.35459091358895 |
Real period |
R |
0.3573035510682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86240bs1 86240ba1 |
Quadratic twists by: -4 -7 |