Atkin-Lehner |
2+ 3+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6486i |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1305009144 = 23 · 38 · 232 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 6 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1966,-34340] |
[a1,a2,a3,a4,a6] |
Generators |
[446:1235:8] |
Generators of the group modulo torsion |
j |
841045259316457/1305009144 |
j-invariant |
L |
2.5760744751438 |
L(r)(E,1)/r! |
Ω |
0.71699378134868 |
Real period |
R |
3.5928825913918 |
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 |
51888p2 19458d2 |
Quadratic twists by: -4 -3 |