Atkin-Lehner |
2- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101738t |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-1.3952510400223E+20 |
Discriminant |
Eigenvalues |
2- 1 2 7- 1 13+ -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2278,-568308508] |
[a1,a2,a3,a4,a6] |
Generators |
[5708:427758:1] |
Generators of the group modulo torsion |
j |
270840023/28906282391168 |
j-invariant |
L |
16.163793776396 |
L(r)(E,1)/r! |
Ω |
0.084414186841665 |
Real period |
R |
1.3677282714312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826b1 |
Quadratic twists by: 13 |