Atkin-Lehner |
2+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19264a |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
134848 = 26 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55,156] |
[a1,a2,a3,a4,a6] |
Generators |
[20:84:1] |
Generators of the group modulo torsion |
j |
287496000/2107 |
j-invariant |
L |
4.9119619073877 |
L(r)(E,1)/r! |
Ω |
3.2989290770321 |
Real period |
R |
2.9779130091555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19264l1 9632e2 |
Quadratic twists by: -4 8 |