Atkin-Lehner |
2- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33934h |
Isogeny class |
Conductor |
33934 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-31030335488 = -1 · 211 · 193 · 472 |
Discriminant |
Eigenvalues |
2- -1 0 -1 0 -7 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-283,8553] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:86:1] [-1:94:1] |
Generators of the group modulo torsion |
j |
-365525875/4524032 |
j-invariant |
L |
10.069299269133 |
L(r)(E,1)/r! |
Ω |
0.99579102459567 |
Real period |
R |
0.22981499632922 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33934a1 |
Quadratic twists by: -19 |