Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
20886i |
Isogeny class |
Conductor |
20886 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
198240 |
Modular degree for the optimal curve |
Δ |
-47573061783800004 = -1 · 22 · 34 · 598 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 0 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47066,-11225365] |
[a1,a2,a3,a4,a6] |
Generators |
[46548:1156693:64] |
Generators of the group modulo torsion |
j |
-78529/324 |
j-invariant |
L |
4.9991087428017 |
L(r)(E,1)/r! |
Ω |
0.14767319283022 |
Real period |
R |
8.4631283562567 |
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 |
62658h1 20886c1 |
Quadratic twists by: -3 -59 |