Atkin-Lehner |
2+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744i |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1247178944 = -1 · 26 · 117 |
Discriminant |
Eigenvalues |
2+ -1 3 4 11- -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,81,-1703] |
[a1,a2,a3,a4,a6] |
j |
512/11 |
j-invariant |
L |
2.9769377318083 |
L(r)(E,1)/r! |
Ω |
0.74423443295206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7744g1 3872c1 69696dk1 704b1 |
Quadratic twists by: -4 8 -3 -11 |