Atkin-Lehner |
2- 3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
14070g |
Isogeny class |
Conductor |
14070 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-28968125025000000 = -1 · 26 · 3 · 58 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,37345,-7687675] |
[a1,a2,a3,a4,a6] |
j |
5759972057800532879/28968125025000000 |
j-invariant |
L |
4.5036452451485 |
L(r)(E,1)/r! |
Ω |
0.18765188521452 |
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 |
112560cs3 42210h3 70350bd3 98490bq3 |
Quadratic twists by: -4 -3 5 -7 |