Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960bl |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
19243008000 = 216 · 34 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1400,-19500] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:30:1] |
Generators of the group modulo torsion |
j |
74140932601/4698000 |
j-invariant |
L |
5.0962153852395 |
L(r)(E,1)/r! |
Ω |
0.78354401151047 |
Real period |
R |
0.54200480023827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
870a1 27840cf1 20880br1 34800bw1 |
Quadratic twists by: -4 8 -3 5 |