Atkin-Lehner |
2+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
64448i |
Isogeny class |
Conductor |
64448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24064 |
Modular degree for the optimal curve |
Δ |
-626950144 = -1 · 215 · 192 · 53 |
Discriminant |
Eigenvalues |
2+ 0 3 2 -5 -2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-716,7472] |
[a1,a2,a3,a4,a6] |
Generators |
[13:19:1] |
Generators of the group modulo torsion |
j |
-1238833224/19133 |
j-invariant |
L |
7.2437516556341 |
L(r)(E,1)/r! |
Ω |
1.6274607243267 |
Real period |
R |
1.1127383209811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64448d1 32224a1 |
Quadratic twists by: -4 8 |