Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15582k |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
61196781280348224 = 26 · 310 · 78 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-108757,6984800] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:4166:1] |
Generators of the group modulo torsion |
j |
1209209052196153/520164058176 |
j-invariant |
L |
3.3106345669416 |
L(r)(E,1)/r! |
Ω |
0.31614471389872 |
Real period |
R |
1.0471896006467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124656ci2 46746bv2 2226b2 |
Quadratic twists by: -4 -3 -7 |