Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720ba |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1049241600 = 211 · 34 · 52 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21859200,39329558100] |
[a1,a2,a3,a4,a6] |
Generators |
[2868:15366:1] |
Generators of the group modulo torsion |
j |
564022683688787276025602/512325 |
j-invariant |
L |
7.9039572802497 |
L(r)(E,1)/r! |
Ω |
0.46164219004502 |
Real period |
R |
4.2803482062852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999142 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30360y6 |
Quadratic twists by: -4 |