Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050es |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
160878481657031250 = 2 · 36 · 58 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2951255,-1950620003] |
[a1,a2,a3,a4,a6] |
j |
2121328796049/120050 |
j-invariant |
L |
1.8429745566514 |
L(r)(E,1)/r! |
Ω |
0.11518590979071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2450e4 4410m3 3150bm4 |
Quadratic twists by: -3 5 -7 |