Atkin-Lehner |
2- 3- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570bb |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
532480 |
Modular degree for the optimal curve |
Δ |
-150559015627350000 = -1 · 24 · 314 · 55 · 114 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92417,21597441] |
[a1,a2,a3,a4,a6] |
Generators |
[101:-3696:1] |
Generators of the group modulo torsion |
j |
-119742239904391369/206528142150000 |
j-invariant |
L |
10.349775800568 |
L(r)(E,1)/r! |
Ω |
0.29088898914639 |
Real period |
R |
0.88949532181859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190b1 |
Quadratic twists by: -3 |