Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17248bb |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-641395994624 = -1 · 212 · 76 · 113 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 11+ 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,392,38416] |
[a1,a2,a3,a4,a6] |
Generators |
[0:196:1] |
Generators of the group modulo torsion |
j |
13824/1331 |
j-invariant |
L |
2.7815940132477 |
L(r)(E,1)/r! |
Ω |
0.69833768966717 |
Real period |
R |
0.99579116751291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17248bh1 34496dr1 352e1 |
Quadratic twists by: -4 8 -7 |