Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6510v |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
1297297308908160 = 27 · 316 · 5 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-163016,25260480] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1876:1] |
Generators of the group modulo torsion |
j |
479087209054512148609/1297297308908160 |
j-invariant |
L |
6.5572219587174 |
L(r)(E,1)/r! |
Ω |
0.48476425483797 |
Real period |
R |
0.12077339458738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52080v2 19530bd2 32550d2 45570cc2 |
Quadratic twists by: -4 -3 5 -7 |