Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50562n |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
515160 |
Modular degree for the optimal curve |
Δ |
-363098514479057352 = -1 · 23 · 36 · 538 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-139572,35295480] |
[a1,a2,a3,a4,a6] |
Generators |
[3100113157:59217195548:5929741] |
Generators of the group modulo torsion |
j |
-6625/8 |
j-invariant |
L |
4.622779481244 |
L(r)(E,1)/r! |
Ω |
0.27344666727598 |
Real period |
R |
16.905598182253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5618h1 50562z1 |
Quadratic twists by: -3 53 |