Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550jb |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
1395360 |
Modular degree for the optimal curve |
Δ |
479431680000000000 = 219 · 3 · 510 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-215013,19030017] |
[a1,a2,a3,a4,a6] |
j |
46884122425/20447232 |
j-invariant |
L |
5.0527099894094 |
L(r)(E,1)/r! |
Ω |
0.26593210764762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550bz1 95550gp1 |
Quadratic twists by: 5 -7 |