Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650bn |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-6552000 = -1 · 26 · 32 · 53 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31,-142] |
[a1,a2,a3,a4,a6] |
j |
-25153757/52416 |
j-invariant |
L |
1.9055838129813 |
L(r)(E,1)/r! |
Ω |
0.95279190649065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200fa1 40950fe1 13650cd1 95550cl1 |
Quadratic twists by: -4 -3 5 -7 |