Atkin-Lehner |
2- 5- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56950r |
Isogeny class |
Conductor |
56950 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
159296 |
Modular degree for the optimal curve |
Δ |
-5001248768000 = -1 · 219 · 53 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 1 5- 2 4 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9308,361232] |
[a1,a2,a3,a4,a6] |
Generators |
[8:532:1] |
Generators of the group modulo torsion |
j |
-713486465382293/40009990144 |
j-invariant |
L |
12.147086475875 |
L(r)(E,1)/r! |
Ω |
0.75789138243405 |
Real period |
R |
0.21088785136577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56950i1 |
Quadratic twists by: 5 |