Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930i |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2759784359220 = 22 · 32 · 5 · 76 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47408,3952572] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:2846:1] |
Generators of the group modulo torsion |
j |
100162392144121/23457780 |
j-invariant |
L |
3.3484371996561 |
L(r)(E,1)/r! |
Ω |
0.78616429156856 |
Real period |
R |
0.5324009935912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790fs4 570e3 |
Quadratic twists by: -3 -7 |