Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17892c |
Isogeny class |
Conductor |
17892 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
-17391024 = -1 · 24 · 37 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 3 -3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1308,18209] |
[a1,a2,a3,a4,a6] |
Generators |
[22:9:1] |
Generators of the group modulo torsion |
j |
-21217755136/1491 |
j-invariant |
L |
4.2031530859834 |
L(r)(E,1)/r! |
Ω |
2.0810603619265 |
Real period |
R |
0.33661950760624 |
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 |
71568by1 5964a1 125244n1 |
Quadratic twists by: -4 -3 -7 |