Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720dg |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-8299975872320 = -1 · 26 · 5 · 1110 |
Discriminant |
Eigenvalues |
2- 1 5- 3 11- -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4880,-192502] |
[a1,a2,a3,a4,a6] |
j |
-7744/5 |
j-invariant |
L |
2.497812544036 |
L(r)(E,1)/r! |
Ω |
0.27753472711307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720dm1 19360r1 38720dh1 |
Quadratic twists by: -4 8 -11 |