Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28665ba |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-5.0821512355456E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -5 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-115248,-343320791] |
[a1,a2,a3,a4,a6] |
j |
-822083584/246796875 |
j-invariant |
L |
0.17916081440119 |
L(r)(E,1)/r! |
Ω |
0.089580407200612 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9555i1 28665bj1 |
Quadratic twists by: -3 -7 |