Atkin-Lehner |
2- 3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
14070g |
Isogeny class |
Conductor |
14070 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
4130970009600 = 224 · 3 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6495,173445] |
[a1,a2,a3,a4,a6] |
j |
30301585803604081/4130970009600 |
j-invariant |
L |
4.5036452451485 |
L(r)(E,1)/r! |
Ω |
0.75060754085808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112560cs1 42210h1 70350bd1 98490bq1 |
Quadratic twists by: -4 -3 5 -7 |