Atkin-Lehner |
2+ 3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110bf |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
21626880 |
Modular degree for the optimal curve |
Δ |
206031172644000000 = 28 · 314 · 56 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1710728964,27234960279120] |
[a1,a2,a3,a4,a6] |
Generators |
[23896:-7668:1] |
Generators of the group modulo torsion |
j |
759521040149442590077955416129/282621636000000 |
j-invariant |
L |
4.3712158927702 |
L(r)(E,1)/r! |
Ω |
0.13273555333439 |
Real period |
R |
2.7443136528006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995514 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29370bh1 |
Quadratic twists by: -3 |