Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3696i |
Isogeny class |
Conductor |
3696 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8503584240439056384 = -1 · 211 · 33 · 72 · 1112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-534072,205375860] |
[a1,a2,a3,a4,a6] |
j |
-8226100326647904626/4152140742401883 |
j-invariant |
L |
2.5970675467698 |
L(r)(E,1)/r! |
Ω |
0.21642229556415 |
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 |
1848b4 14784bv4 11088p4 92400t3 |
Quadratic twists by: -4 8 -3 5 |