Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59328bk |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
123904 |
Modular degree for the optimal curve |
Δ |
-851291954496 = -1 · 26 · 317 · 103 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 0 1 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7779,-267784] |
[a1,a2,a3,a4,a6] |
Generators |
[3484:205578:1] |
Generators of the group modulo torsion |
j |
-1115802998848/18246141 |
j-invariant |
L |
4.1143880360687 |
L(r)(E,1)/r! |
Ω |
0.25393166018049 |
Real period |
R |
4.0506843783203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328bq1 29664g1 19776w1 |
Quadratic twists by: -4 8 -3 |