Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768o |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2436363629568 = 210 · 312 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95752,-11372228] |
[a1,a2,a3,a4,a6] |
j |
94813865536654372/2379261357 |
j-invariant |
L |
2.1712151171377 |
L(r)(E,1)/r! |
Ω |
0.27140188964221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19536i4 78144z4 29304c4 107448d4 |
Quadratic twists by: -4 8 -3 -11 |