Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8050g |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-38897700625000 = -1 · 23 · 57 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1225,300125] |
[a1,a2,a3,a4,a6] |
j |
12994449551/2489452840 |
j-invariant |
L |
1.9988931851145 |
L(r)(E,1)/r! |
Ω |
0.49972329627863 |
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 |
64400bt2 72450dg2 1610d2 56350r2 |
Quadratic twists by: -4 -3 5 -7 |