Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115056t |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
40558620672 = 212 · 36 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 2 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36147,2645170] |
[a1,a2,a3,a4,a6] |
Generators |
[111:22:1] |
Generators of the group modulo torsion |
j |
1749254553649/13583 |
j-invariant |
L |
4.3624853220095 |
L(r)(E,1)/r! |
Ω |
1.029036054274 |
Real period |
R |
2.1196950831481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999833951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7191f2 12784f2 |
Quadratic twists by: -4 -3 |