Atkin-Lehner |
2+ 3- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
42570m |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-137926800 = -1 · 24 · 36 · 52 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,-572] |
[a1,a2,a3,a4,a6] |
Generators |
[12:14:1] |
Generators of the group modulo torsion |
j |
-24137569/189200 |
j-invariant |
L |
4.2946024683283 |
L(r)(E,1)/r! |
Ω |
0.77602811606631 |
Real period |
R |
1.3835202550697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4730f1 |
Quadratic twists by: -3 |