Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7326g |
Isogeny class |
Conductor |
7326 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-42725232 = -1 · 24 · 38 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40,-309] |
[a1,a2,a3,a4,a6] |
j |
9938375/58608 |
j-invariant |
L |
4.0665313952278 |
L(r)(E,1)/r! |
Ω |
1.0166328488069 |
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 |
58608bn1 2442a1 80586m1 |
Quadratic twists by: -4 -3 -11 |