Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
39072q |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
38794592941632 = 26 · 35 · 113 · 374 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106898,13413576] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:4884:1] |
Generators of the group modulo torsion |
j |
2110845954540952000/606165514713 |
j-invariant |
L |
6.7466152842115 |
L(r)(E,1)/r! |
Ω |
0.63298812588269 |
Real period |
R |
0.35527866470926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39072a1 78144b1 117216j1 |
Quadratic twists by: -4 8 -3 |