Atkin-Lehner |
2+ 3+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14790f |
Isogeny class |
Conductor |
14790 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-335836530000 = -1 · 24 · 34 · 54 · 17 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 0 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,508,27744] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2516:1] |
Generators of the group modulo torsion |
j |
14453677700279/335836530000 |
j-invariant |
L |
3.4949577072906 |
L(r)(E,1)/r! |
Ω |
0.72074584267306 |
Real period |
R |
0.10102259991101 |
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 |
118320cq1 44370bh1 73950db1 |
Quadratic twists by: -4 -3 5 |