Atkin-Lehner |
2- 3- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56610v |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-7024445128674320400 = -1 · 24 · 312 · 52 · 176 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 6 6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,389452,86558631] |
[a1,a2,a3,a4,a6] |
j |
8961052973061164039/9635727199827600 |
j-invariant |
L |
7.5121873484817 |
L(r)(E,1)/r! |
Ω |
0.15650390315136 |
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 |
18870e2 |
Quadratic twists by: -3 |