Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33440b |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-20748475000000 = -1 · 26 · 58 · 112 · 193 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11+ 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6854,-20580] |
[a1,a2,a3,a4,a6] |
Generators |
[564186:7170702:6859] |
Generators of the group modulo torsion |
j |
556304628382784/324194921875 |
j-invariant |
L |
7.4694275461648 |
L(r)(E,1)/r! |
Ω |
0.40285554300972 |
Real period |
R |
9.2706029193008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440j1 66880dt2 |
Quadratic twists by: -4 8 |