Atkin-Lehner |
5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17885s |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
1092000 |
Modular degree for the optimal curve |
Δ |
2.517174460083E+19 |
Discriminant |
Eigenvalues |
2 0 5- 7- 6 -2 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8756447,-9970404005] |
[a1,a2,a3,a4,a6] |
j |
262861560682205184/89111328125 |
j-invariant |
L |
4.5638330917304 |
L(r)(E,1)/r! |
Ω |
0.087766020994815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425t1 17885b1 |
Quadratic twists by: 5 -7 |