Atkin-Lehner |
2- 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42550w |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
10892800000000 = 215 · 58 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 1 5- -4 6 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17263,857017] |
[a1,a2,a3,a4,a6] |
j |
1456511980945/27885568 |
j-invariant |
L |
3.600030959427 |
L(r)(E,1)/r! |
Ω |
0.72000619188663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42550h1 |
Quadratic twists by: 5 |