Atkin-Lehner |
3+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
14847b |
Isogeny class |
Conductor |
14847 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48720 |
Modular degree for the optimal curve |
Δ |
-8644590045147 = -1 · 3 · 710 · 1012 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- 6 -1 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4002,-103888] |
[a1,a2,a3,a4,a6] |
j |
25088000/30603 |
j-invariant |
L |
0.78676129244301 |
L(r)(E,1)/r! |
Ω |
0.3933806462215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44541j1 14847d1 |
Quadratic twists by: -3 -7 |