Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562bc |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-412268743360512 = -1 · 226 · 37 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 -2 -6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35825,2795681] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-620:1] |
Generators of the group modulo torsion |
j |
-2483085516625/201326592 |
j-invariant |
L |
6.2362348159292 |
L(r)(E,1)/r! |
Ω |
0.52102258181583 |
Real period |
R |
0.23017734124934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16854f1 50562p1 |
Quadratic twists by: -3 53 |