Atkin-Lehner |
7- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
74137a |
Isogeny class |
Conductor |
74137 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
252738716120009 = 76 · 176 · 89 |
Discriminant |
Eigenvalues |
-1 -2 -2 7- 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28274,-1664741] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:299:1] |
Generators of the group modulo torsion |
j |
21247028137873/2148243641 |
j-invariant |
L |
1.7552440615462 |
L(r)(E,1)/r! |
Ω |
0.37057341647357 |
Real period |
R |
4.7365622670848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1513a2 |
Quadratic twists by: -7 |