Atkin-Lehner |
2+ 7+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60424a |
Isogeny class |
Conductor |
60424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
58416956416 = 210 · 72 · 132 · 832 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2539,-47850] |
[a1,a2,a3,a4,a6] |
Generators |
[-697450:-903210:24389] |
Generators of the group modulo torsion |
j |
1767713416452/57047809 |
j-invariant |
L |
6.0865282015701 |
L(r)(E,1)/r! |
Ω |
0.67389547667316 |
Real period |
R |
9.031857925072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998512 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120848a2 |
Quadratic twists by: -4 |