Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720bz |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-709328765732400 = -1 · 24 · 32 · 52 · 113 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16285,1516000] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:1518:1] |
Generators of the group modulo torsion |
j |
-29853392180740096/44333047858275 |
j-invariant |
L |
4.6769629183291 |
L(r)(E,1)/r! |
Ω |
0.45678542080466 |
Real period |
R |
0.5688256703977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180n3 |
Quadratic twists by: -4 |