Atkin-Lehner |
2+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2030a |
Isogeny class |
Conductor |
2030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
174072500 = 22 · 54 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-644,-6100] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:12:1] |
Generators of the group modulo torsion |
j |
29563822919961/174072500 |
j-invariant |
L |
2.2798256035822 |
L(r)(E,1)/r! |
Ω |
0.94798285876121 |
Real period |
R |
0.60123070330653 |
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 |
16240t4 64960a3 18270bk4 10150m3 |
Quadratic twists by: -4 8 -3 5 |