Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216h |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
609887232 = 210 · 36 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -4 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-344,-2268] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:6:1] |
Generators of the group modulo torsion |
j |
4409211748/595593 |
j-invariant |
L |
6.6035573466523 |
L(r)(E,1)/r! |
Ω |
1.1182048982779 |
Real period |
R |
0.98424974957962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19608e1 117648g1 |
Quadratic twists by: -4 -3 |