Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13328w |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
23263320926461952 = 213 · 76 · 176 |
Discriminant |
Eigenvalues |
2- -2 0 7- -6 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88608,-7045004] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:1666:1] [-110:1176:1] |
Generators of the group modulo torsion |
j |
159661140625/48275138 |
j-invariant |
L |
4.782244775748 |
L(r)(E,1)/r! |
Ω |
0.28320016999284 |
Real period |
R |
0.70360197521949 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1666l4 53312cb4 119952en4 272d4 |
Quadratic twists by: -4 8 -3 -7 |