Atkin-Lehner |
2- 11+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15466d |
Isogeny class |
Conductor |
15466 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
182400 |
Modular degree for the optimal curve |
Δ |
-595688942993408 = -1 · 219 · 112 · 193 · 372 |
Discriminant |
Eigenvalues |
2- -3 -4 -1 11+ -5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21192,1675275] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:1545:1] [-99:1721:1] |
Generators of the group modulo torsion |
j |
-1052495712538571601/595688942993408 |
j-invariant |
L |
5.0845105389417 |
L(r)(E,1)/r! |
Ω |
0.47849962350185 |
Real period |
R |
0.046605020619891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123728r1 |
Quadratic twists by: -4 |