Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3696i |
Isogeny class |
Conductor |
3696 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3175234143814656 = 210 · 36 · 74 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-586992,172882980] |
[a1,a2,a3,a4,a6] |
j |
21843440425782779332/3100814593569 |
j-invariant |
L |
2.5970675467698 |
L(r)(E,1)/r! |
Ω |
0.43284459112831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1848b2 14784bv2 11088p2 92400t2 |
Quadratic twists by: -4 8 -3 5 |