Atkin-Lehner |
3- 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
101283o |
Isogeny class |
Conductor |
101283 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
4818528 |
Modular degree for the optimal curve |
Δ |
139118096803383243 = 311 · 74 · 133 · 533 |
Discriminant |
Eigenvalues |
-1 3- 4 7+ -2 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4483746,-3654675207] |
[a1,a2,a3,a4,a6] |
j |
4151973422537701422529/57941731280043 |
j-invariant |
L |
1.1412545059937 |
L(r)(E,1)/r! |
Ω |
0.10375037312132 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101283h1 |
Quadratic twists by: -7 |