Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
20886j |
Isogeny class |
Conductor |
20886 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
1075097441441808 = 24 · 33 · 597 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-120167,15905549] |
[a1,a2,a3,a4,a6] |
Generators |
[7242236331:-10857645274:38958219] |
Generators of the group modulo torsion |
j |
4549540393/25488 |
j-invariant |
L |
7.854078916625 |
L(r)(E,1)/r! |
Ω |
0.49349136909778 |
Real period |
R |
15.915331874971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62658i1 354d1 |
Quadratic twists by: -3 -59 |