Atkin-Lehner |
2+ 3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562a |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-4059801699276672 = -1 · 27 · 33 · 537 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 1 -2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30021,3668949] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:16959:8] |
Generators of the group modulo torsion |
j |
-5000211/6784 |
j-invariant |
L |
4.4051727587077 |
L(r)(E,1)/r! |
Ω |
0.3961369774566 |
Real period |
R |
1.3900408852756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50562w1 954h1 |
Quadratic twists by: -3 53 |