Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
94248bc |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
54625380784128 = 211 · 37 · 72 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-959979,-362026618] |
[a1,a2,a3,a4,a6] |
Generators |
[72676:223245:64] |
Generators of the group modulo torsion |
j |
65531699294079314/36587859 |
j-invariant |
L |
8.1937505965339 |
L(r)(E,1)/r! |
Ω |
0.15252257756148 |
Real period |
R |
6.7151948225176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000055022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31416c4 |
Quadratic twists by: -3 |