Atkin-Lehner |
2- 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304bp |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3652001759232 = 215 · 36 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4971,98714] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:322:1] [-59:432:1] |
Generators of the group modulo torsion |
j |
4549540393/1223048 |
j-invariant |
L |
8.7301947543725 |
L(r)(E,1)/r! |
Ω |
0.73611795839001 |
Real period |
R |
1.4824721117845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7038q2 6256f2 |
Quadratic twists by: -4 -3 |