Atkin-Lehner |
5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18755c |
Isogeny class |
Conductor |
18755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
77893328254878125 = 55 · 1110 · 312 |
Discriminant |
Eigenvalues |
-1 -2 5+ -4 11- 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2007211,-1094640084] |
[a1,a2,a3,a4,a6] |
Generators |
[92025:27867054:1] |
Generators of the group modulo torsion |
j |
504831795225826249/43968753125 |
j-invariant |
L |
1.2495899339189 |
L(r)(E,1)/r! |
Ω |
0.12683922100513 |
Real period |
R |
4.9258814584977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93775e2 1705a2 |
Quadratic twists by: 5 -11 |