Atkin-Lehner |
2+ 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960bb |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-4264641601920000 = -1 · 210 · 310 · 54 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21960,3375108] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:-2100:1] [-144:1890:1] |
Generators of the group modulo torsion |
j |
-1143774840771364/4164689064375 |
j-invariant |
L |
13.09363331603 |
L(r)(E,1)/r! |
Ω |
0.3828030279093 |
Real period |
R |
0.21377889478135 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999731 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480u1 |
Quadratic twists by: -4 |