Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7326i |
Isogeny class |
Conductor |
7326 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
141450594660384768 = 232 · 37 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-205079,-30776529] |
[a1,a2,a3,a4,a6] |
j |
1308451928740468777/194033737531392 |
j-invariant |
L |
3.6251668791617 |
L(r)(E,1)/r! |
Ω |
0.22657292994761 |
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 |
58608bq1 2442c1 80586p1 |
Quadratic twists by: -4 -3 -11 |