Atkin-Lehner |
2+ 3- 5- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
39990j |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
176366029067100 = 22 · 32 · 52 · 31 · 436 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21503,-1033594] |
[a1,a2,a3,a4,a6] |
Generators |
[180:877:1] |
Generators of the group modulo torsion |
j |
1099491417042307561/176366029067100 |
j-invariant |
L |
5.1627272801977 |
L(r)(E,1)/r! |
Ω |
0.39852991491231 |
Real period |
R |
1.0795357067338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970bw2 |
Quadratic twists by: -3 |