Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336bg |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-355446784 = -1 · 212 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-309,-2179] |
[a1,a2,a3,a4,a6] |
j |
-799178752/86779 |
j-invariant |
L |
5.0915788173556 |
L(r)(E,1)/r! |
Ω |
0.56573097970614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1771c1 113344cz1 |
Quadratic twists by: -4 8 |