Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
936f |
Isogeny class |
Conductor |
936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-65505024 = -1 · 28 · 39 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,81,-270] |
[a1,a2,a3,a4,a6] |
j |
11664/13 |
j-invariant |
L |
2.1147806214442 |
L(r)(E,1)/r! |
Ω |
1.0573903107221 |
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 |
1872a1 7488g1 936a1 23400c1 |
Quadratic twists by: -4 8 -3 5 |