Atkin-Lehner |
2+ 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960bc |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
704 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-7.2270580279527E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4466420,1880125100] |
[a1,a2,a3,a4,a6] |
Generators |
[890:81000:1] |
Generators of the group modulo torsion |
j |
38491277763082389295664/28230695421690234375 |
j-invariant |
L |
9.4073005520296 |
L(r)(E,1)/r! |
Ω |
0.084387099809873 |
Real period |
R |
0.63339742028104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480e1 |
Quadratic twists by: -4 |