Atkin-Lehner |
2- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
17776f |
Isogeny class |
Conductor |
17776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-814238234095616 = -1 · 212 · 117 · 1012 |
Discriminant |
Eigenvalues |
2- 3 -3 0 11+ 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139264,-20050576] |
[a1,a2,a3,a4,a6] |
Generators |
[28027197232418871147:1080784062792027863:65024458123434867] |
Generators of the group modulo torsion |
j |
-72925658468057088/198788631371 |
j-invariant |
L |
7.4063089800683 |
L(r)(E,1)/r! |
Ω |
0.12354891454427 |
Real period |
R |
29.973185144473 |
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 |
1111b1 71104q1 |
Quadratic twists by: -4 8 |