Atkin-Lehner |
2+ 3- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010k |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-3558909872908800 = -1 · 29 · 312 · 52 · 233 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12780,2926800] |
[a1,a2,a3,a4,a6] |
j |
-316670684057281/4881906547200 |
j-invariant |
L |
1.502018332688 |
L(r)(E,1)/r! |
Ω |
0.37550457704731 |
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 |
29670bb1 |
Quadratic twists by: -3 |