Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840bh |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4596480 |
Modular degree for the optimal curve |
Δ |
-1.0802486245683E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5242979,-1913331179] |
[a1,a2,a3,a4,a6] |
Generators |
[19939965:1280613292:12167] |
Generators of the group modulo torsion |
j |
3891329764605605689856/2637325743574921875 |
j-invariant |
L |
5.2429614056801 |
L(r)(E,1)/r! |
Ω |
0.072649783204547 |
Real period |
R |
12.027935424847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63840o1 127680df1 |
Quadratic twists by: -4 8 |