Atkin-Lehner |
2- 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
114840bf |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
-1053746718750000 = -1 · 24 · 36 · 510 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18378,-1232739] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1305:1] |
Generators of the group modulo torsion |
j |
58853316704256/90341796875 |
j-invariant |
L |
7.6667311548472 |
L(r)(E,1)/r! |
Ω |
0.25993607854082 |
Real period |
R |
0.73736696864824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12760a1 |
Quadratic twists by: -3 |