Atkin-Lehner |
2+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
46784h |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-55380279296 = -1 · 218 · 173 · 43 |
Discriminant |
Eigenvalues |
2+ -1 1 0 6 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34465,2474273] |
[a1,a2,a3,a4,a6] |
j |
-17271547035049/211259 |
j-invariant |
L |
2.0320493473027 |
L(r)(E,1)/r! |
Ω |
1.0160246737493 |
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 |
46784t1 731a1 |
Quadratic twists by: -4 8 |