Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350j |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-320271875000 = -1 · 23 · 58 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11- -5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10650,419500] |
[a1,a2,a3,a4,a6] |
Generators |
[-810:5905:8] [-5:690:1] |
Generators of the group modulo torsion |
j |
-584043889/1400 |
j-invariant |
L |
5.4196077982722 |
L(r)(E,1)/r! |
Ω |
0.96794548091433 |
Real period |
R |
0.46659031122569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470x1 42350cl1 |
Quadratic twists by: 5 -11 |