Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208cv |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-163767408 = -1 · 24 · 3 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -1 3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114,-813] |
[a1,a2,a3,a4,a6] |
Generators |
[146471:1187913:2197] |
Generators of the group modulo torsion |
j |
-87808/87 |
j-invariant |
L |
6.6198831537667 |
L(r)(E,1)/r! |
Ω |
0.70187806803748 |
Real period |
R |
9.43167119122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17052f1 1392l1 |
Quadratic twists by: -4 -7 |