Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728bk |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1886335008768 = 218 · 34 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13217,-585537] |
[a1,a2,a3,a4,a6] |
j |
974126411497/7195797 |
j-invariant |
L |
1.781832917339 |
L(r)(E,1)/r! |
Ω |
0.44545822930134 |
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 |
49728dn4 777a3 |
Quadratic twists by: -4 8 |