Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gb |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
121772160000 = 210 · 38 · 54 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3432,75544] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:315:1] |
Generators of the group modulo torsion |
j |
5988775936/163125 |
j-invariant |
L |
7.5170256558745 |
L(r)(E,1)/r! |
Ω |
1.0431367110834 |
Real period |
R |
1.8015437422936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987206 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520cq1 20880g1 27840df1 |
Quadratic twists by: -4 8 -3 |