Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720cq |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
115101000000000000 = 212 · 34 · 512 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9827160,11854132308] |
[a1,a2,a3,a4,a6] |
Generators |
[-1314:150000:1] |
Generators of the group modulo torsion |
j |
25624056865771295207641/28100830078125 |
j-invariant |
L |
8.464799722461 |
L(r)(E,1)/r! |
Ω |
0.27998381810382 |
Real period |
R |
1.259715617941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3045f3 |
Quadratic twists by: -4 |