Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840bt |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2070614016000 = 215 · 34 · 53 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4385,89217] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:395:1] |
Generators of the group modulo torsion |
j |
284630612552/63190125 |
j-invariant |
L |
6.3637342115937 |
L(r)(E,1)/r! |
Ω |
0.77946071264897 |
Real period |
R |
1.3607130561141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840cr2 37920e2 |
Quadratic twists by: -4 8 |