Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11424s |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
215777902620672 = 212 · 312 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-529649,148186527] |
[a1,a2,a3,a4,a6] |
Generators |
[-551:16524:1] |
Generators of the group modulo torsion |
j |
4011705594213827392/52680152007 |
j-invariant |
L |
4.9814454747853 |
L(r)(E,1)/r! |
Ω |
0.51116050007508 |
Real period |
R |
1.624227443909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11424n2 22848bt1 34272m4 79968bv4 |
Quadratic twists by: -4 8 -3 -7 |