Atkin-Lehner |
2- 5+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550bu |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
782496 |
Modular degree for the optimal curve |
Δ |
-4902583926594200 = -1 · 23 · 52 · 713 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-281558,-57626308] |
[a1,a2,a3,a4,a6] |
j |
-98738702205162307465/196103357063768 |
j-invariant |
L |
4.041015347555 |
L(r)(E,1)/r! |
Ω |
0.10361577872804 |
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 |
88550w1 |
Quadratic twists by: 5 |