Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496dd |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-2488915652608 = -1 · 212 · 73 · 116 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11- -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24836,1508416] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-1056:1] [-126:1624:1] |
Generators of the group modulo torsion |
j |
-1205909169984/1771561 |
j-invariant |
L |
7.4957844032761 |
L(r)(E,1)/r! |
Ω |
0.81292580676593 |
Real period |
R |
0.7683957073009 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496ci1 17248d1 34496dc1 |
Quadratic twists by: -4 8 -7 |