Atkin-Lehner |
3- 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
14469k |
Isogeny class |
Conductor |
14469 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
105658324317 = 310 · 72 · 13 · 532 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3129,65268] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1596:1] [-33:381:1] |
Generators of the group modulo torsion |
j |
3388044269239057/105658324317 |
j-invariant |
L |
4.7540750095382 |
L(r)(E,1)/r! |
Ω |
1.0536971123113 |
Real period |
R |
0.45118041550968 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43407k2 101283l2 |
Quadratic twists by: -3 -7 |