Atkin-Lehner |
2- 5+ 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
88450n |
Isogeny class |
Conductor |
88450 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
283040000000 = 211 · 57 · 29 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 2 -7 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48730,-4128103] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:71:1] |
Generators of the group modulo torsion |
j |
819001250717481/18114560 |
j-invariant |
L |
8.2093247922999 |
L(r)(E,1)/r! |
Ω |
0.32133033326371 |
Real period |
R |
1.1612695352119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17690d1 |
Quadratic twists by: 5 |