Atkin-Lehner |
2- 3+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570q |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
1296 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
1063933415424000000 = 218 · 33 · 56 · 112 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-537272,-143090629] |
[a1,a2,a3,a4,a6] |
j |
635245816597005073923/39404941312000000 |
j-invariant |
L |
6.3729050654915 |
L(r)(E,1)/r! |
Ω |
0.17702514070893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
42570b3 |
Quadratic twists by: -3 |