Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6936h |
Isogeny class |
Conductor |
6936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5513691204716544 = 211 · 38 · 177 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-217424,-38785716] |
[a1,a2,a3,a4,a6] |
j |
22994537186/111537 |
j-invariant |
L |
1.7692503482638 |
L(r)(E,1)/r! |
Ω |
0.22115629353298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13872m3 55488bk4 20808k3 408b3 |
Quadratic twists by: -4 8 -3 17 |