Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50568n |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6188768631585792 = 210 · 34 · 79 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13528720,-19148330564] |
[a1,a2,a3,a4,a6] |
Generators |
[5446:262044:1] |
Generators of the group modulo torsion |
j |
6626917327327132/149769 |
j-invariant |
L |
2.1391434909412 |
L(r)(E,1)/r! |
Ω |
0.078720052577453 |
Real period |
R |
6.7935151874643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136x2 50568w2 |
Quadratic twists by: -4 -7 |