Atkin-Lehner |
2+ 3- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010i |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-250671043222272000 = -1 · 211 · 316 · 53 · 232 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 6 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1419525,-651063339] |
[a1,a2,a3,a4,a6] |
j |
-433935811245972632401/343856026368000 |
j-invariant |
L |
2.489520296146 |
L(r)(E,1)/r! |
Ω |
0.069153337535261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29670ba1 |
Quadratic twists by: -3 |