Atkin-Lehner |
2+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81862f |
Isogeny class |
Conductor |
81862 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2108160 |
Modular degree for the optimal curve |
Δ |
1.245192675965E+20 |
Discriminant |
Eigenvalues |
2+ -1 0 0 11- -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1536850,-500164324] |
[a1,a2,a3,a4,a6] |
Generators |
[175145:1160823:125] |
Generators of the group modulo torsion |
j |
34328125/10648 |
j-invariant |
L |
2.5716628736557 |
L(r)(E,1)/r! |
Ω |
0.13888407143142 |
Real period |
R |
3.0861024938026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81862g1 |
Quadratic twists by: 61 |