Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288by |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1575936 |
Modular degree for the optimal curve |
Δ |
-2693079740964667392 = -1 · 231 · 39 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 2 3 13- -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7490739,7891450738] |
[a1,a2,a3,a4,a6] |
Generators |
[1439:9594:1] |
Generators of the group modulo torsion |
j |
-15567190192349720497/901906956288 |
j-invariant |
L |
8.3668452525541 |
L(r)(E,1)/r! |
Ω |
0.24202782903531 |
Real period |
R |
2.8808137772979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6786g1 18096bf1 |
Quadratic twists by: -4 -3 |