Atkin-Lehner |
2- 3+ 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950bm |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13685760 |
Modular degree for the optimal curve |
Δ |
7602150288384000000 = 216 · 39 · 56 · 233 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-134506163,600372567281] |
[a1,a2,a3,a4,a6] |
Generators |
[6659:1838:1] |
Generators of the group modulo torsion |
j |
17223850138378767661426537/486537618456576 |
j-invariant |
L |
10.016805318205 |
L(r)(E,1)/r! |
Ω |
0.17138061240311 |
Real period |
R |
3.6529822357751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4278j1 |
Quadratic twists by: 5 |