Atkin-Lehner |
2- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
101866n |
Isogeny class |
Conductor |
101866 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
112800 |
Modular degree for the optimal curve |
Δ |
-53407121408 = -1 · 220 · 312 · 53 |
Discriminant |
Eigenvalues |
2- -1 -2 2 -6 -5 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,631,-9033] |
[a1,a2,a3,a4,a6] |
Generators |
[15:56:1] |
Generators of the group modulo torsion |
j |
28909819823/55574528 |
j-invariant |
L |
4.7998004919713 |
L(r)(E,1)/r! |
Ω |
0.58566018675161 |
Real period |
R |
0.40977691232884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101866k1 |
Quadratic twists by: -31 |