Atkin-Lehner |
2+ 5+ 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550i |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-504226848972800 = -1 · 213 · 52 · 294 · 592 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 1 -6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18886,1469848] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:932:1] |
Generators of the group modulo torsion |
j |
-29796867033069505/20169073958912 |
j-invariant |
L |
3.6558513139369 |
L(r)(E,1)/r! |
Ω |
0.48232213897387 |
Real period |
R |
0.94746099617825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85550ba1 |
Quadratic twists by: 5 |