Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56304bw |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-520886598746112 = -1 · 214 · 314 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -2 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12165,-969046] |
[a1,a2,a3,a4,a6] |
Generators |
[845:24752:1] |
Generators of the group modulo torsion |
j |
66676466375/174443868 |
j-invariant |
L |
7.8727217490272 |
L(r)(E,1)/r! |
Ω |
0.26861555066288 |
Real period |
R |
3.6635638413351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7038n1 18768i1 |
Quadratic twists by: -4 -3 |