Atkin-Lehner |
3- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
14847f |
Isogeny class |
Conductor |
14847 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
47161836981 = 34 · 78 · 101 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 -3 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-50829,-4427755] |
[a1,a2,a3,a4,a6] |
j |
123446480601088/400869 |
j-invariant |
L |
2.5436714931174 |
L(r)(E,1)/r! |
Ω |
0.31795893663968 |
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 |
44541d1 2121a1 |
Quadratic twists by: -3 -7 |