Atkin-Lehner |
5- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38675bc |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
115058125 = 54 · 72 · 13 · 172 |
Discriminant |
Eigenvalues |
0 -3 5- 7- -2 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-250,1431] |
[a1,a2,a3,a4,a6] |
Generators |
[5:17:1] [-15:42:1] |
Generators of the group modulo torsion |
j |
2764800000/184093 |
j-invariant |
L |
4.9518849027441 |
L(r)(E,1)/r! |
Ω |
1.835457784587 |
Real period |
R |
0.22482515190153 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38675d1 |
Quadratic twists by: 5 |