Atkin-Lehner |
2+ 3+ 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570a |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
14048100 = 22 · 33 · 52 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-315,2225] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-41:1] [-17:58:1] |
Generators of the group modulo torsion |
j |
128252814507/520300 |
j-invariant |
L |
6.0038348161608 |
L(r)(E,1)/r! |
Ω |
2.2388658448146 |
Real period |
R |
0.6704102916737 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42570r1 |
Quadratic twists by: -3 |