Atkin-Lehner |
2- 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89900g |
Isogeny class |
Conductor |
89900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-89900000000 = -1 · 28 · 58 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 3 -6 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,800,-11500] |
[a1,a2,a3,a4,a6] |
Generators |
[34860:195875:1728] |
Generators of the group modulo torsion |
j |
14155776/22475 |
j-invariant |
L |
14.23545274696 |
L(r)(E,1)/r! |
Ω |
0.56640879623673 |
Real period |
R |
6.283206062629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17980e1 |
Quadratic twists by: 5 |