Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720bk |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
4204798194477957120 = 220 · 39 · 5 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-640936,-170881424] |
[a1,a2,a3,a4,a6] |
Generators |
[3391683372:194753452544:970299] |
Generators of the group modulo torsion |
j |
7108998764134921129/1026562059198720 |
j-invariant |
L |
5.0078101489714 |
L(r)(E,1)/r! |
Ω |
0.17035671677686 |
Real period |
R |
14.698012040873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590k1 |
Quadratic twists by: -4 |