Atkin-Lehner |
3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15111f |
Isogeny class |
Conductor |
15111 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
55487184003 = 39 · 232 · 732 |
Discriminant |
Eigenvalues |
1 3- 2 0 -4 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-981,-3146] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:611:8] |
Generators of the group modulo torsion |
j |
143301984337/76114107 |
j-invariant |
L |
6.3189581016011 |
L(r)(E,1)/r! |
Ω |
0.90604874349419 |
Real period |
R |
3.4870961120877 |
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 |
5037d2 |
Quadratic twists by: -3 |