Atkin-Lehner |
2+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38870q |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
9543265079237500 = 22 · 55 · 137 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 -4 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-655892,204127396] |
[a1,a2,a3,a4,a6] |
Generators |
[2202:96074:1] |
Generators of the group modulo torsion |
j |
6464897360855569/1977137500 |
j-invariant |
L |
2.8102156895148 |
L(r)(E,1)/r! |
Ω |
0.40050812055989 |
Real period |
R |
0.058471883283013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2990e1 |
Quadratic twists by: 13 |