Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32368h |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2800124842876928 = 213 · 72 · 178 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -2 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37859,-1247902] |
[a1,a2,a3,a4,a6] |
j |
60698457/28322 |
j-invariant |
L |
1.4321795428656 |
L(r)(E,1)/r! |
Ω |
0.35804488571465 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4046e2 129472bw2 1904d2 |
Quadratic twists by: -4 8 17 |