Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664bn |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-556063076352 = -1 · 212 · 3 · 72 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8953,-331033] |
[a1,a2,a3,a4,a6] |
Generators |
[486915:3994784:3375] |
Generators of the group modulo torsion |
j |
-19378404856000/135757587 |
j-invariant |
L |
7.3022816318584 |
L(r)(E,1)/r! |
Ω |
0.24529665437624 |
Real period |
R |
7.4422964006855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664o2 20832w1 124992bv2 |
Quadratic twists by: -4 8 -3 |