Atkin-Lehner |
2- 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
20448g |
Isogeny class |
Conductor |
20448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-715516416 = -1 · 29 · 39 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 -1 2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4347,-110322] |
[a1,a2,a3,a4,a6] |
Generators |
[229:3302:1] |
Generators of the group modulo torsion |
j |
-901428696/71 |
j-invariant |
L |
5.7553940726117 |
L(r)(E,1)/r! |
Ω |
0.293981564421 |
Real period |
R |
4.8943494840799 |
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 |
20448a1 40896i1 20448b1 |
Quadratic twists by: -4 8 -3 |