Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544cm |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11700375257088 = 217 · 37 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78924,8532592] |
[a1,a2,a3,a4,a6] |
j |
569001644066/122451 |
j-invariant |
L |
2.783777206003 |
L(r)(E,1)/r! |
Ω |
0.6959443040492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68544dz4 8568g4 22848bi4 |
Quadratic twists by: -4 8 -3 |