Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40050v |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-11896351875000000 = -1 · 26 · 33 · 510 · 893 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,57070,-303] |
[a1,a2,a3,a4,a6] |
Generators |
[5:531:1] |
Generators of the group modulo torsion |
j |
77963379525/45118016 |
j-invariant |
L |
8.8101282480186 |
L(r)(E,1)/r! |
Ω |
0.23999758205937 |
Real period |
R |
1.0197010426825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40050a2 40050d1 |
Quadratic twists by: -3 5 |