Atkin-Lehner |
2+ 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568n |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-200797532928 = -1 · 28 · 37 · 173 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -4 -3 -6 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26780,1678044] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:1836:1] [106:204:1] |
Generators of the group modulo torsion |
j |
-8297202353469136/784365363 |
j-invariant |
L |
8.2240902736384 |
L(r)(E,1)/r! |
Ω |
0.96070679089315 |
Real period |
R |
0.20382043203833 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29784j1 |
Quadratic twists by: -4 |