Atkin-Lehner |
2+ 7+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65366b |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
114912 |
Modular degree for the optimal curve |
Δ |
12934991306188 = 22 · 78 · 23 · 293 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 0 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6396,93342] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:561:1] [12:129:1] |
Generators of the group modulo torsion |
j |
5018421625/2243788 |
j-invariant |
L |
8.8601120647524 |
L(r)(E,1)/r! |
Ω |
0.63732006323722 |
Real period |
R |
6.9510694671413 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
65366g1 |
Quadratic twists by: -7 |