Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
53016n |
Isogeny class |
Conductor |
53016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
389086556515584 = 28 · 3 · 477 |
Discriminant |
Eigenvalues |
2- 3+ -3 -5 -3 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20617,637501] |
[a1,a2,a3,a4,a6] |
Generators |
[204:2209:1] |
Generators of the group modulo torsion |
j |
351232/141 |
j-invariant |
L |
2.6638056661184 |
L(r)(E,1)/r! |
Ω |
0.4850717685306 |
Real period |
R |
0.68644627427959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106032p1 1128e1 |
Quadratic twists by: -4 -47 |