Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952dd |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
179964795834136656 = 24 · 39 · 711 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7419384,-7778545425] |
[a1,a2,a3,a4,a6] |
j |
1219067475001344/4857223 |
j-invariant |
L |
4.5738054011559 |
L(r)(E,1)/r! |
Ω |
0.091476111718438 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29988o1 119952cq1 17136t1 |
Quadratic twists by: -4 -3 -7 |