Atkin-Lehner |
2+ 3+ 11- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105534d |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-208184177916 = -1 · 22 · 39 · 112 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,147,21905] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:941:8] [1:-149:1] |
Generators of the group modulo torsion |
j |
17779581/10576852 |
j-invariant |
L |
8.0925711362235 |
L(r)(E,1)/r! |
Ω |
0.77970728713653 |
Real period |
R |
2.5947465373636 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105534x1 |
Quadratic twists by: -3 |