Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200be |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11140640000000000 = 214 · 510 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257675,50088250] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:10000:1] |
Generators of the group modulo torsion |
j |
29563822919961/174072500 |
j-invariant |
L |
5.1598699080204 |
L(r)(E,1)/r! |
Ω |
0.40613172544293 |
Real period |
R |
1.5881146389741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10150m3 16240t4 |
Quadratic twists by: -4 5 |