Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648a |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
235156163171328 = 210 · 314 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16688,385308] |
[a1,a2,a3,a4,a6] |
Generators |
[117:144:1] |
Generators of the group modulo torsion |
j |
73181591500/33480783 |
j-invariant |
L |
5.0309990179898 |
L(r)(E,1)/r! |
Ω |
0.49918476578808 |
Real period |
R |
5.0392152993929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296bd2 60648bb2 |
Quadratic twists by: -4 -19 |