Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040cc |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-18357780480 = -1 · 215 · 3 · 5 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 3 13- 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392280,94698480] |
[a1,a2,a3,a4,a6] |
Generators |
[362:2:1] |
Generators of the group modulo torsion |
j |
-1629871520330191321/4481880 |
j-invariant |
L |
5.7999776290753 |
L(r)(E,1)/r! |
Ω |
0.8082023613725 |
Real period |
R |
1.1960654711981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630m2 |
Quadratic twists by: -4 |