Atkin-Lehner |
2- 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45584j |
Isogeny class |
Conductor |
45584 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-1215868960768 = -1 · 220 · 7 · 112 · 372 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 11- 4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2256,34132] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:74:1] |
Generators of the group modulo torsion |
j |
309876419663/296843008 |
j-invariant |
L |
3.3592795412866 |
L(r)(E,1)/r! |
Ω |
0.56705516265337 |
Real period |
R |
1.4810197325274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5698c1 |
Quadratic twists by: -4 |