Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8050g |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-28334994378906250 = -1 · 2 · 59 · 72 · 236 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11025,-8115625] |
[a1,a2,a3,a4,a6] |
j |
-9486391169809/1813439640250 |
j-invariant |
L |
1.9988931851145 |
L(r)(E,1)/r! |
Ω |
0.16657443209288 |
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 |
64400bt4 72450dg4 1610d4 56350r4 |
Quadratic twists by: -4 -3 5 -7 |