Atkin-Lehner |
2+ 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978y |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2351337900435216 = 24 · 36 · 78 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-210040,-36994954] |
[a1,a2,a3,a4,a6] |
j |
8710408612492777/19986042384 |
j-invariant |
L |
2.6764887511393 |
L(r)(E,1)/r! |
Ω |
0.22304072923111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7854a2 |
Quadratic twists by: -7 |