Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680l |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-88209000000 = -1 · 26 · 36 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1077,4372] |
[a1,a2,a3,a4,a6] |
j |
2961169856/1890625 |
j-invariant |
L |
1.3387447154898 |
L(r)(E,1)/r! |
Ω |
0.66937235774488 |
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 |
31680w1 15840bg2 3520n1 |
Quadratic twists by: -4 8 -3 |