Atkin-Lehner |
2+ 3- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14586h |
Isogeny class |
Conductor |
14586 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
-2899504554614368272 = -1 · 24 · 36 · 116 · 134 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,292714,54762104] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:6037:1] |
Generators of the group modulo torsion |
j |
2773679829880629422375/2899504554614368272 |
j-invariant |
L |
3.76014508499 |
L(r)(E,1)/r! |
Ω |
0.16808338249122 |
Real period |
R |
0.93211303552131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
116688m2 43758t2 |
Quadratic twists by: -4 -3 |