Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218z |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-8.9108585030909E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 2 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-263925,457223989] |
[a1,a2,a3,a4,a6] |
Generators |
[-445:22277:1] |
Generators of the group modulo torsion |
j |
-577801395289/25323976704 |
j-invariant |
L |
3.8034089506173 |
L(r)(E,1)/r! |
Ω |
0.15863894169862 |
Real period |
R |
0.99896892410401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29406o1 6786s1 |
Quadratic twists by: -3 13 |