Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6630m |
Isogeny class |
Conductor |
6630 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-4481880 = -1 · 23 · 3 · 5 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -3 13- 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24518,-1479664] |
[a1,a2,a3,a4,a6] |
Generators |
[1486:4209:8] |
Generators of the group modulo torsion |
j |
-1629871520330191321/4481880 |
j-invariant |
L |
4.0104001585041 |
L(r)(E,1)/r! |
Ω |
0.19076575718928 |
Real period |
R |
7.007547227191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53040cc2 19890u2 33150bi2 86190cr2 |
Quadratic twists by: -4 -3 5 13 |