Atkin-Lehner |
2+ 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720a |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-82126107360000 = -1 · 28 · 36 · 54 · 113 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1924,434160] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:540:1] |
Generators of the group modulo torsion |
j |
3075198864176/320805106875 |
j-invariant |
L |
4.5824140377149 |
L(r)(E,1)/r! |
Ω |
0.46651927919449 |
Real period |
R |
2.4556402287906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360be2 |
Quadratic twists by: -4 |