Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6468o |
Isogeny class |
Conductor |
6468 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-57297207035376 = -1 · 24 · 33 · 77 · 115 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,670,-363903] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1617:1] |
Generators of the group modulo torsion |
j |
17643776/30438639 |
j-invariant |
L |
5.1390574413127 |
L(r)(E,1)/r! |
Ω |
0.29126342724967 |
Real period |
R |
0.19604465543784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25872bh1 103488o1 19404n1 924b1 |
Quadratic twists by: -4 8 -3 -7 |