Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11424s |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
33076474706483712 = 29 · 33 · 73 · 178 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-126624,-15015960] |
[a1,a2,a3,a4,a6] |
Generators |
[1179:38418:1] |
Generators of the group modulo torsion |
j |
438536015880092936/64602489661101 |
j-invariant |
L |
4.9814454747853 |
L(r)(E,1)/r! |
Ω |
0.25558025003754 |
Real period |
R |
6.4969097756362 |
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 |
11424n3 22848bt4 34272m3 79968bv3 |
Quadratic twists by: -4 8 -3 -7 |