Atkin-Lehner |
2+ 3- 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
40890o |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6687968400000000 = 210 · 32 · 58 · 292 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58704,-3811298] |
[a1,a2,a3,a4,a6] |
Generators |
[16871743:3733433957:343] |
Generators of the group modulo torsion |
j |
22372584684169567609/6687968400000000 |
j-invariant |
L |
5.0599659827796 |
L(r)(E,1)/r! |
Ω |
0.3137948759027 |
Real period |
R |
8.0625376182846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122670ch2 |
Quadratic twists by: -3 |