Atkin-Lehner |
3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
14697d |
Isogeny class |
Conductor |
14697 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
3.6993792779282E+22 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 4 2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-57591410,-167953614514] |
[a1,a2,a3,a4,a6] |
Generators |
[19374:2437363:1] |
Generators of the group modulo torsion |
j |
28978060244806543423281625/50745943455805119987 |
j-invariant |
L |
2.9052753000347 |
L(r)(E,1)/r! |
Ω |
0.05480949616888 |
Real period |
R |
2.6503393600654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4899b2 |
Quadratic twists by: -3 |