Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288k |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
70357248 = 28 · 36 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1119,-14402] |
[a1,a2,a3,a4,a6] |
Generators |
[11670:104198:125] |
Generators of the group modulo torsion |
j |
830321872/377 |
j-invariant |
L |
6.5570395735428 |
L(r)(E,1)/r! |
Ω |
0.82547489120356 |
Real period |
R |
7.9433543568762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27144m1 6032c1 |
Quadratic twists by: -4 -3 |