Atkin-Lehner |
2+ 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720f |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-189750000000000 = -1 · 210 · 3 · 512 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10984,489216] |
[a1,a2,a3,a4,a6] |
Generators |
[285:5166:1] |
Generators of the group modulo torsion |
j |
143108618325404/185302734375 |
j-invariant |
L |
4.4787296510176 |
L(r)(E,1)/r! |
Ω |
0.38141113536478 |
Real period |
R |
5.8712623149482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360bb3 |
Quadratic twists by: -4 |