Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648bm |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
246970421712 = 24 · 38 · 73 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1659,9702] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:84:1] [-21:189:1] |
Generators of the group modulo torsion |
j |
4604090368/2250423 |
j-invariant |
L |
10.527731771464 |
L(r)(E,1)/r! |
Ω |
0.87664728669171 |
Real period |
R |
0.50037854121818 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296c1 60648j1 |
Quadratic twists by: -4 -19 |