Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840bx |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-9192960 = -1 · 29 · 33 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,360] |
[a1,a2,a3,a4,a6] |
Generators |
[6:6:1] |
Generators of the group modulo torsion |
j |
-193100552/17955 |
j-invariant |
L |
6.8145145044505 |
L(r)(E,1)/r! |
Ω |
2.2554137947731 |
Real period |
R |
0.50356720352083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63840be1 127680er1 |
Quadratic twists by: -4 8 |