Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115056r |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
46885765496832 = 214 · 36 · 174 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145251,21304674] |
[a1,a2,a3,a4,a6] |
Generators |
[271:1358:1] |
Generators of the group modulo torsion |
j |
113499416527713/15701948 |
j-invariant |
L |
5.2168587958392 |
L(r)(E,1)/r! |
Ω |
0.61470919349797 |
Real period |
R |
4.2433550920516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14382d3 12784e3 |
Quadratic twists by: -4 -3 |