Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59840bp |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-10439496826880 = -1 · 223 · 5 · 114 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 2 11- -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18785,-996863] |
[a1,a2,a3,a4,a6] |
Generators |
[167:704:1] |
Generators of the group modulo torsion |
j |
-2796665386969/39823520 |
j-invariant |
L |
4.9119336339309 |
L(r)(E,1)/r! |
Ω |
0.20372629194485 |
Real period |
R |
3.0138068992398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59840l1 14960e1 |
Quadratic twists by: -4 8 |