Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59840i |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-6397307699200 = -1 · 214 · 52 · 11 · 175 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 11- -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4421,167645] |
[a1,a2,a3,a4,a6] |
Generators |
[28:255:1] |
Generators of the group modulo torsion |
j |
-583396135936/390460675 |
j-invariant |
L |
8.3462563401124 |
L(r)(E,1)/r! |
Ω |
0.69430877431309 |
Real period |
R |
1.2020957604168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59840z1 7480c1 |
Quadratic twists by: -4 8 |