Atkin-Lehner |
2+ 3+ 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890n |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-8387008826100 = -1 · 22 · 3 · 52 · 296 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,468,139476] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:369:1] |
Generators of the group modulo torsion |
j |
11298232190519/8387008826100 |
j-invariant |
L |
2.7568651056747 |
L(r)(E,1)/r! |
Ω |
0.57381511452735 |
Real period |
R |
0.80074139906606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670bp2 |
Quadratic twists by: -3 |