Atkin-Lehner |
2+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870c |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-12107041024000 = -1 · 211 · 53 · 132 · 234 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 1 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16383,-831163] |
[a1,a2,a3,a4,a6] |
Generators |
[15500777027:-3526771932280:300763] |
Generators of the group modulo torsion |
j |
-2877787492361041/71639296000 |
j-invariant |
L |
6.7946948828 |
L(r)(E,1)/r! |
Ω |
0.21068278921057 |
Real period |
R |
16.125415151991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38870bj1 |
Quadratic twists by: 13 |