Atkin-Lehner |
2- 3+ 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bu |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
1773158400 = 214 · 32 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320,-768] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:30:1] |
Generators of the group modulo torsion |
j |
887503681/432900 |
j-invariant |
L |
6.7350650111705 |
L(r)(E,1)/r! |
Ω |
1.1854789876895 |
Real period |
R |
1.4203256862123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999769102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bl1 |
Quadratic twists by: -4 |