Atkin-Lehner |
3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48279o |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2764218005340561 = 36 · 72 · 118 · 192 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-227725,41732051] |
[a1,a2,a3,a4,a6] |
j |
737219801902753/1560329001 |
j-invariant |
L |
2.7268136834169 |
L(r)(E,1)/r! |
Ω |
0.45446894731915 |
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 |
4389f2 |
Quadratic twists by: -11 |