Atkin-Lehner |
2- 3+ 29+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
98832g |
Isogeny class |
Conductor |
98832 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5315574156253986816 = 218 · 314 · 292 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1506472,703492720] |
[a1,a2,a3,a4,a6] |
j |
92309679839096684713/1297747596741696 |
j-invariant |
L |
4.3611663156812 |
L(r)(E,1)/r! |
Ω |
0.24228701824785 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12354d2 |
Quadratic twists by: -4 |