Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11424n |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
48 |
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 |
[-419:28:1] |
Generators of the group modulo torsion |
j |
4011705594213827392/52680152007 |
j-invariant |
L |
3.1385710616866 |
L(r)(E,1)/r! |
Ω |
0.1769712788981 |
Real period |
R |
1.4779098060566 |
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 |
11424s3 22848cs1 34272t4 79968cv4 |
Quadratic twists by: -4 8 -3 -7 |