Atkin-Lehner |
3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
6627d |
Isogeny class |
Conductor |
6627 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
642904739867547 = 33 · 478 |
Discriminant |
Eigenvalues |
-1 3+ 0 4 0 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-315933,68207808] |
[a1,a2,a3,a4,a6] |
j |
323535264625/59643 |
j-invariant |
L |
0.4969744360626 |
L(r)(E,1)/r! |
Ω |
0.4969744360626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106032be2 19881j2 141b2 |
Quadratic twists by: -4 -3 -47 |