Atkin-Lehner |
2- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40300a |
Isogeny class |
Conductor |
40300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-1309750000 = -1 · 24 · 56 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 2 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,142,-1663] |
[a1,a2,a3,a4,a6] |
j |
1257728/5239 |
j-invariant |
L |
4.6372456396993 |
L(r)(E,1)/r! |
Ω |
0.7728742732894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1612c1 |
Quadratic twists by: 5 |