Atkin-Lehner |
2+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960o |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
36377600 = 210 · 52 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 2 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85,117] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:147:8] |
Generators of the group modulo torsion |
j |
67108864/35525 |
j-invariant |
L |
10.731364925422 |
L(r)(E,1)/r! |
Ω |
1.8046874332113 |
Real period |
R |
2.9731921240577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960ca1 4060a1 |
Quadratic twists by: -4 8 |