Atkin-Lehner |
3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18975w |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
20608 |
Modular degree for the optimal curve |
Δ |
760802625 = 37 · 53 · 112 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5258,146307] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:540:1] [-38:559:1] |
Generators of the group modulo torsion |
j |
128611737881333/6086421 |
j-invariant |
L |
5.1896285297781 |
L(r)(E,1)/r! |
Ω |
1.5049876282025 |
Real period |
R |
0.49261235797639 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56925bj1 18975g1 |
Quadratic twists by: -3 5 |