Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6650x |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-80114263040000000 = -1 · 216 · 57 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,62912,12193792] |
[a1,a2,a3,a4,a6] |
Generators |
[1032:-34816:1] |
Generators of the group modulo torsion |
j |
1762396940073671/5127312834560 |
j-invariant |
L |
6.8420744700573 |
L(r)(E,1)/r! |
Ω |
0.24116310074911 |
Real period |
R |
0.063328459490436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200bv1 59850bv1 1330a1 46550cl1 |
Quadratic twists by: -4 -3 5 -7 |