Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720bz |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
2234779132988160 = 28 · 34 · 5 · 116 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320460,69894540] |
[a1,a2,a3,a4,a6] |
Generators |
[277:1518:1] |
Generators of the group modulo torsion |
j |
14216954944919509456/8729605988235 |
j-invariant |
L |
4.6769629183291 |
L(r)(E,1)/r! |
Ω |
0.45678542080466 |
Real period |
R |
1.1376513407954 |
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 |
15180n4 |
Quadratic twists by: -4 |