Atkin-Lehner |
2+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2912a |
Isogeny class |
Conductor |
2912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-127848448 = -1 · 212 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4,-544] |
[a1,a2,a3,a4,a6] |
j |
1728/31213 |
j-invariant |
L |
0.85525330119 |
L(r)(E,1)/r! |
Ω |
0.85525330119 |
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 |
2912e4 5824b1 26208bl2 72800bn2 |
Quadratic twists by: -4 8 -3 5 |