Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586bg |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
2.6024887151114E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1674905,306464249] |
[a1,a2,a3,a4,a6] |
Generators |
[-987:32074:1] |
Generators of the group modulo torsion |
j |
402355893390625/201513996288 |
j-invariant |
L |
12.548917640223 |
L(r)(E,1)/r! |
Ω |
0.15465992426718 |
Real period |
R |
3.3807825174644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26862i1 7326c1 |
Quadratic twists by: -3 -11 |