Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840r |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13511976042240000 = 211 · 37 · 54 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207363,-35912162] |
[a1,a2,a3,a4,a6] |
j |
136835858/1875 |
j-invariant |
L |
1.7912942018084 |
L(r)(E,1)/r! |
Ω |
0.22391177480532 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680y3 20280bf4 360d3 |
Quadratic twists by: -4 -3 13 |