Atkin-Lehner |
2+ 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50456b |
Isogeny class |
Conductor |
50456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18944 |
Modular degree for the optimal curve |
Δ |
599013632 = 28 · 72 · 17 · 532 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-348,2324] |
[a1,a2,a3,a4,a6] |
j |
18258658000/2339897 |
j-invariant |
L |
3.1422298640274 |
L(r)(E,1)/r! |
Ω |
1.5711149322907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100912b1 |
Quadratic twists by: -4 |