Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760u |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
1.0945579280684E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8251122,-9108681311] |
[a1,a2,a3,a4,a6] |
Generators |
[-1647:3640:1] |
Generators of the group modulo torsion |
j |
5326172487431504287744/9384070028021325 |
j-invariant |
L |
6.6230300749137 |
L(r)(E,1)/r! |
Ω |
0.089087601020886 |
Real period |
R |
3.0976205812303 |
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 |
65520bg1 10920r1 |
Quadratic twists by: -4 -3 |