Atkin-Lehner |
2- 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
50616h |
Isogeny class |
Conductor |
50616 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-5901208463812608 = -1 · 211 · 37 · 19 · 375 |
Discriminant |
Eigenvalues |
2- 3- -2 2 6 -2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113691,-15210794] |
[a1,a2,a3,a4,a6] |
Generators |
[410:2664:1] |
Generators of the group modulo torsion |
j |
-108854024666546/3952605549 |
j-invariant |
L |
5.5647103510803 |
L(r)(E,1)/r! |
Ω |
0.129721774731 |
Real period |
R |
2.1448636370514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101232e1 16872b1 |
Quadratic twists by: -4 -3 |