Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600s |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
6525000000 = 26 · 32 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8658,307188] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:750:1] |
Generators of the group modulo torsion |
j |
71783828416/6525 |
j-invariant |
L |
8.1018837100734 |
L(r)(E,1)/r! |
Ω |
1.277142084569 |
Real period |
R |
1.5859401644908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600f1 13920r1 |
Quadratic twists by: -4 5 |