Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648y |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
194560 |
Modular degree for the optimal curve |
Δ |
325269199361232 = 24 · 32 · 7 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22863,-1001160] |
[a1,a2,a3,a4,a6] |
Generators |
[7203:92807:27] |
Generators of the group modulo torsion |
j |
256000/63 |
j-invariant |
L |
6.0915145651942 |
L(r)(E,1)/r! |
Ω |
0.39523442513906 |
Real period |
R |
7.7062044419845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296x1 60648r1 |
Quadratic twists by: -4 -19 |