Atkin-Lehner |
2- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
64448m |
Isogeny class |
Conductor |
64448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-3621264031744 = -1 · 219 · 194 · 53 |
Discriminant |
Eigenvalues |
2- -2 3 2 1 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1249,-93537] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1976:1] |
Generators of the group modulo torsion |
j |
-822656953/13814026 |
j-invariant |
L |
6.3977567356295 |
L(r)(E,1)/r! |
Ω |
0.3389240078911 |
Real period |
R |
2.3595837809811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64448b1 16112e1 |
Quadratic twists by: -4 8 |