Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720cs |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.2956365440637E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56096500,-161733315352] |
[a1,a2,a3,a4,a6] |
Generators |
[15271:1594710:1] |
Generators of the group modulo torsion |
j |
76258990297490164969896016/506108025024879375 |
j-invariant |
L |
7.7715503629823 |
L(r)(E,1)/r! |
Ω |
0.055165274763294 |
Real period |
R |
5.8698991321499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12180f2 |
Quadratic twists by: -4 |