Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648u |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
33638181282048 = 28 · 3 · 72 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10228,-280604] |
[a1,a2,a3,a4,a6] |
Generators |
[222:2888:1] |
Generators of the group modulo torsion |
j |
9826000/2793 |
j-invariant |
L |
4.84428055116 |
L(r)(E,1)/r! |
Ω |
0.48498693580339 |
Real period |
R |
1.2485595470772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296bk1 3192f1 |
Quadratic twists by: -4 -19 |