Atkin-Lehner |
2- 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840cg |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2839904640000000000 = 216 · 32 · 510 · 793 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42060161,-105005579265] |
[a1,a2,a3,a4,a6] |
j |
125561525686402511226244/43333505859375 |
j-invariant |
L |
3.2012942199268 |
L(r)(E,1)/r! |
Ω |
0.059283226220289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840c2 18960d2 |
Quadratic twists by: -4 8 |