Atkin-Lehner |
2- 3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cd |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4553304170761500 = 22 · 3 · 53 · 72 · 118 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-113288305,464067932627] |
[a1,a2,a3,a4,a6] |
Generators |
[393748:-130961:64] |
Generators of the group modulo torsion |
j |
160797373047230973076421208721/4553304170761500 |
j-invariant |
L |
7.8077226628882 |
L(r)(E,1)/r! |
Ω |
0.22975383205984 |
Real period |
R |
2.8319160094418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117810t4 |
Quadratic twists by: -3 |