Atkin-Lehner |
2+ 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38318f |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-15890786431270912 = -1 · 220 · 73 · 174 · 232 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42775,-6959046] |
[a1,a2,a3,a4,a6] |
Generators |
[1060797:209732116:27] |
Generators of the group modulo torsion |
j |
-25233939164839231/46328823414784 |
j-invariant |
L |
3.4468168765195 |
L(r)(E,1)/r! |
Ω |
0.15645999831101 |
Real period |
R |
5.5075049752758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38318l1 |
Quadratic twists by: -7 |