Atkin-Lehner |
3- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39195r |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-2376162856679625 = -1 · 317 · 53 · 133 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5- 3 3 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24827,-2780796] |
[a1,a2,a3,a4,a6] |
Generators |
[452:8616:1] |
Generators of the group modulo torsion |
j |
-2321413559693929/3259482656625 |
j-invariant |
L |
4.5042714935098 |
L(r)(E,1)/r! |
Ω |
0.1809242160789 |
Real period |
R |
4.1493169452639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13065c1 |
Quadratic twists by: -3 |