Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13260f |
Isogeny class |
Conductor |
13260 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
5.3396465916836E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2462065,-986601350] |
[a1,a2,a3,a4,a6] |
Generators |
[-1275:8845:1] |
Generators of the group modulo torsion |
j |
103157889656032577929216/33372791198022770325 |
j-invariant |
L |
4.5424336384623 |
L(r)(E,1)/r! |
Ω |
0.12362181931801 |
Real period |
R |
6.1240991052684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53040cr1 39780n1 66300bh1 |
Quadratic twists by: -4 -3 5 |