Atkin-Lehner |
2- 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536s |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
185044992 = 212 · 3 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,1024] |
[a1,a2,a3,a4,a6] |
Generators |
[0:32:1] |
Generators of the group modulo torsion |
j |
244140625/45177 |
j-invariant |
L |
4.5450408732246 |
L(r)(E,1)/r! |
Ω |
1.7090335430662 |
Real period |
R |
1.3297108449581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1221c1 78144cw1 58608bm1 |
Quadratic twists by: -4 8 -3 |