Atkin-Lehner |
2+ 3+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258d |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17720619974508 = 22 · 3 · 118 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10045,326209] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:305:1] [-60:877:1] |
Generators of the group modulo torsion |
j |
63282696625/10002828 |
j-invariant |
L |
6.3553238181485 |
L(r)(E,1)/r! |
Ω |
0.66127943883086 |
Real period |
R |
2.4026619629144 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478i2 |
Quadratic twists by: -11 |