Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
58080bl |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4471137792000 = 212 · 38 · 53 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6145,-152975] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:165:1] |
Generators of the group modulo torsion |
j |
4707843776/820125 |
j-invariant |
L |
6.0931164753413 |
L(r)(E,1)/r! |
Ω |
0.5456409833166 |
Real period |
R |
1.8611494436631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58080u2 116160cn1 58080h2 |
Quadratic twists by: -4 8 -11 |