Atkin-Lehner |
2- 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
69264bb |
Isogeny class |
Conductor |
69264 |
Conductor |
∏ cp |
16 |
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 |
6.2534875861905 |
L(r)(E,1)/r! |
Ω |
0.3908429748339 |
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 |
17316d2 23088m2 |
Quadratic twists by: -4 -3 |