Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42050s |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-2628125000 = -1 · 23 · 58 · 292 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 -3 4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,287,-1583] |
[a1,a2,a3,a4,a6] |
j |
198911/200 |
j-invariant |
L |
4.7006510152938 |
L(r)(E,1)/r! |
Ω |
0.7834418358811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410a1 42050m1 |
Quadratic twists by: 5 29 |