Atkin-Lehner |
2- 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17316d |
Isogeny class |
Conductor |
17316 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1773171019346688 = 28 · 311 · 134 · 372 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 4 13- 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30423,258910] |
[a1,a2,a3,a4,a6] |
j |
16686387731536/9501302187 |
j-invariant |
L |
3.2335925049584 |
L(r)(E,1)/r! |
Ω |
0.40419906311979 |
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 |
69264bb2 5772d2 |
Quadratic twists by: -4 -3 |