Atkin-Lehner |
3- 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20559h |
Isogeny class |
Conductor |
20559 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
109824 |
Modular degree for the optimal curve |
Δ |
-50384160191673 = -1 · 311 · 74 · 113 · 89 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- -7 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-96184,11478665] |
[a1,a2,a3,a4,a6] |
Generators |
[-319:3278:1] [77:2090:1] |
Generators of the group modulo torsion |
j |
-98408473838096881537/50384160191673 |
j-invariant |
L |
5.3713505259519 |
L(r)(E,1)/r! |
Ω |
0.62497026311365 |
Real period |
R |
0.065110376990253 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61677l1 |
Quadratic twists by: -3 |