Atkin-Lehner |
2- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
14608b |
Isogeny class |
Conductor |
14608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-59834368 = -1 · 216 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 0 0 3 11+ 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,85,218] |
[a1,a2,a3,a4,a6] |
Generators |
[7:34:1] |
Generators of the group modulo torsion |
j |
16581375/14608 |
j-invariant |
L |
5.1302843886505 |
L(r)(E,1)/r! |
Ω |
1.2855681119143 |
Real period |
R |
1.9953374469638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1826b1 58432o1 |
Quadratic twists by: -4 8 |