Atkin-Lehner |
2+ 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88330d |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1827709562958400 = 26 · 52 · 118 · 732 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31180,517776] |
[a1,a2,a3,a4,a6] |
j |
1892360039409/1031694400 |
j-invariant |
L |
0.81814612306651 |
L(r)(E,1)/r! |
Ω |
0.409073012842 |
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 |
8030i2 |
Quadratic twists by: -11 |