Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5776m |
Isogeny class |
Conductor |
5776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-11829248 = -1 · 215 · 192 |
Discriminant |
Eigenvalues |
2- 1 0 4 -3 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32,-140] |
[a1,a2,a3,a4,a6] |
Generators |
[12:46:1] |
Generators of the group modulo torsion |
j |
2375/8 |
j-invariant |
L |
4.829317998385 |
L(r)(E,1)/r! |
Ω |
1.1528205942766 |
Real period |
R |
2.0945661546822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722f1 23104bv1 51984cm1 5776i1 |
Quadratic twists by: -4 8 -3 -19 |