Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66470o |
Isogeny class |
Conductor |
66470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23224320 |
Modular degree for the optimal curve |
Δ |
-1.1520739110107E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 -1 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2215748556,40143833118553] |
[a1,a2,a3,a4,a6] |
Generators |
[43294171631:11250239212157:493039] |
Generators of the group modulo torsion |
j |
-49841557909700385914920801/47729492187500 |
j-invariant |
L |
6.4794750667079 |
L(r)(E,1)/r! |
Ω |
0.096920699045397 |
Real period |
R |
16.713341759104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910l1 |
Quadratic twists by: 17 |