Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330cq |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
936 |
Product of Tamagawa factors cp |
deg |
19468800 |
Modular degree for the optimal curve |
Δ |
6.97449766455E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -2 13+ 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35855635,72198021137] |
[a1,a2,a3,a4,a6] |
Generators |
[2267:49566:1] |
Generators of the group modulo torsion |
j |
6249555785939909521/855000000000000 |
j-invariant |
L |
11.55737992818 |
L(r)(E,1)/r! |
Ω |
0.087043883650027 |
Real period |
R |
0.14185520696228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330l1 |
Quadratic twists by: 13 |