Atkin-Lehner |
2- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39100n |
Isogeny class |
Conductor |
39100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6816 |
Modular degree for the optimal curve |
Δ |
-782000 = -1 · 24 · 53 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -3 5- -2 1 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] [0:5:1] |
Generators of the group modulo torsion |
j |
442368/391 |
j-invariant |
L |
5.5670992167821 |
L(r)(E,1)/r! |
Ω |
1.8459433504496 |
Real period |
R |
0.50264265652443 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39100p1 |
Quadratic twists by: 5 |