Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40050m |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1804502812500 = 22 · 36 · 57 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24417,1473241] |
[a1,a2,a3,a4,a6] |
Generators |
[104:-277:1] |
Generators of the group modulo torsion |
j |
141339344329/158420 |
j-invariant |
L |
3.7522667640062 |
L(r)(E,1)/r! |
Ω |
0.83284517604204 |
Real period |
R |
0.5631699132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4450i2 8010m2 |
Quadratic twists by: -3 5 |