Atkin-Lehner |
2+ 3- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51888h |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-468237312 = -1 · 210 · 32 · 23 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-368,-3036] |
[a1,a2,a3,a4,a6] |
Generators |
[120:1302:1] |
Generators of the group modulo torsion |
j |
-5396930500/457263 |
j-invariant |
L |
9.0802602137476 |
L(r)(E,1)/r! |
Ω |
0.54226455268962 |
Real period |
R |
4.1862685697955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25944a1 |
Quadratic twists by: -4 |