Atkin-Lehner |
2+ 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22568b |
Isogeny class |
Conductor |
22568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16298067968 = 211 · 72 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ -2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7283,239150] |
[a1,a2,a3,a4,a6] |
j |
20860498846098/7958041 |
j-invariant |
L |
2.4312196221844 |
L(r)(E,1)/r! |
Ω |
1.2156098110922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45136b2 |
Quadratic twists by: -4 |