Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680dn |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
40360948531200 = 226 · 37 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12972,-479536] |
[a1,a2,a3,a4,a6] |
j |
1263214441/211200 |
j-invariant |
L |
3.619481991831 |
L(r)(E,1)/r! |
Ω |
0.45243524897808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680by1 7920be1 10560bp1 |
Quadratic twists by: -4 8 -3 |