Atkin-Lehner |
2+ 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22968d |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-17681317632 = -1 · 28 · 39 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135,6426] |
[a1,a2,a3,a4,a6] |
j |
-54000/3509 |
j-invariant |
L |
2.0307637130265 |
L(r)(E,1)/r! |
Ω |
1.0153818565132 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45936a1 22968m1 |
Quadratic twists by: -4 -3 |