Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7488u |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6055575552 = 214 · 37 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 -4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732,6640] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:40:1] [-19:117:1] |
Generators of the group modulo torsion |
j |
3631696/507 |
j-invariant |
L |
4.4422079158475 |
L(r)(E,1)/r! |
Ω |
1.2918500689268 |
Real period |
R |
0.42983005755632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7488bw2 468e2 2496l2 97344ct2 |
Quadratic twists by: -4 8 -3 13 |