Atkin-Lehner |
2- 3- 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330bk |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280000 |
Modular degree for the optimal curve |
Δ |
-432395155697083830 = -1 · 2 · 311 · 5 · 172 · 615 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-249953,-57508473] |
[a1,a2,a3,a4,a6] |
j |
-2369024847264970441/593134644303270 |
j-invariant |
L |
0.8429694634708 |
L(r)(E,1)/r! |
Ω |
0.10537121204743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31110a1 |
Quadratic twists by: -3 |