Atkin-Lehner |
2+ 3- 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350z |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-4028760000000000 = -1 · 212 · 32 · 510 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,39124,-670102] |
[a1,a2,a3,a4,a6] |
j |
423886312910159/257840640000 |
j-invariant |
L |
2.0402011065401 |
L(r)(E,1)/r! |
Ω |
0.25502513645013 |
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 |
17670o1 |
Quadratic twists by: 5 |