Atkin-Lehner |
2+ 3+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67938c |
Isogeny class |
Conductor |
67938 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2662937930890695042 = -1 · 2 · 34 · 138 · 674 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,162406,74429022] |
[a1,a2,a3,a4,a6] |
j |
98144423850383/551697390738 |
j-invariant |
L |
0.73917812871546 |
L(r)(E,1)/r! |
Ω |
0.18479453806551 |
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 |
5226c4 |
Quadratic twists by: 13 |