Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bx |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-21203173376 = -1 · 214 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- 11- 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-784,-10976] |
[a1,a2,a3,a4,a6] |
Generators |
[161:2009:1] |
Generators of the group modulo torsion |
j |
-27648/11 |
j-invariant |
L |
2.8633203722798 |
L(r)(E,1)/r! |
Ω |
0.44243058143528 |
Real period |
R |
3.2358978927175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496cy1 4312f1 704e1 |
Quadratic twists by: -4 8 -7 |