Atkin-Lehner |
2- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21328i |
Isogeny class |
Conductor |
21328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
10919936 = 213 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 2 -1 0 5 -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[10:18:1] |
Generators of the group modulo torsion |
j |
4826809/2666 |
j-invariant |
L |
7.0210085738693 |
L(r)(E,1)/r! |
Ω |
1.8655730022451 |
Real period |
R |
1.8817297863498 |
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 |
2666a1 85312n1 |
Quadratic twists by: -4 8 |