Atkin-Lehner |
2- 3+ 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826o |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-13126806 = -1 · 2 · 33 · 72 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11+ -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1964,-33003] |
[a1,a2,a3,a4,a6] |
j |
-31015377733059/486178 |
j-invariant |
L |
2.8687390395893 |
L(r)(E,1)/r! |
Ω |
0.35859237998491 |
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 |
56826b1 |
Quadratic twists by: -3 |