Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648k |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
88747133130980352 = 210 · 36 · 7 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-115640,4903356] |
[a1,a2,a3,a4,a6] |
Generators |
[-358:540:1] |
Generators of the group modulo torsion |
j |
3550014724/1842183 |
j-invariant |
L |
4.268294463627 |
L(r)(E,1)/r! |
Ω |
0.29906386149277 |
Real period |
R |
3.5680460041854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296bc2 3192p2 |
Quadratic twists by: -4 -19 |