Atkin-Lehner |
2- 3- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13566r |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
24942339072 = 210 · 34 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1203,14049] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-843:1] |
Generators of the group modulo torsion |
j |
192549837768625/24942339072 |
j-invariant |
L |
8.300038063359 |
L(r)(E,1)/r! |
Ω |
1.151049195474 |
Real period |
R |
0.1802711407991 |
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 |
108528v1 40698h1 94962bg1 |
Quadratic twists by: -4 -3 -7 |