Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bi |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33620319432000000 = 29 · 36 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30103992,-63567163584] |
[a1,a2,a3,a4,a6] |
Generators |
[171211430:13154455651:17576] |
Generators of the group modulo torsion |
j |
2251439055699625/25088 |
j-invariant |
L |
3.3677974467944 |
L(r)(E,1)/r! |
Ω |
0.064453058648722 |
Real period |
R |
13.062985362531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2450y6 882i6 3150l6 |
Quadratic twists by: -3 5 -7 |