Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820d |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1176000 |
Modular degree for the optimal curve |
Δ |
4237629273281250000 = 24 · 37 · 510 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-491421,-87996654] |
[a1,a2,a3,a4,a6] |
j |
463030539649024/149501953125 |
j-invariant |
L |
0.18493836094258 |
L(r)(E,1)/r! |
Ω |
0.18493836009662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
420a1 |
Quadratic twists by: -11 |