Atkin-Lehner |
2+ 3- 5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
42330n |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
872278036316160000 = 226 · 3 · 54 · 174 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-364999,71974922] |
[a1,a2,a3,a4,a6] |
Generators |
[456:409:1] |
Generators of the group modulo torsion |
j |
5377705627829754602089/872278036316160000 |
j-invariant |
L |
2.6777516139146 |
L(r)(E,1)/r! |
Ω |
0.26849813915843 |
Real period |
R |
2.4932683167861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126990cf1 |
Quadratic twists by: -3 |