Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120bj |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13011532485120 = 29 · 34 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117680,-15498120] |
[a1,a2,a3,a4,a6] |
Generators |
[112542:1732843:216] |
Generators of the group modulo torsion |
j |
72929847752/5265 |
j-invariant |
L |
5.2383349051911 |
L(r)(E,1)/r! |
Ω |
0.25776589983324 |
Real period |
R |
10.161031597431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81120bv4 6240c2 |
Quadratic twists by: -4 13 |