Atkin-Lehner |
2+ 3- 7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
109746d |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
82324974186 = 2 · 39 · 74 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2257641,-1305096773] |
[a1,a2,a3,a4,a6] |
Generators |
[1889:33233:1] [5939:438323:1] |
Generators of the group modulo torsion |
j |
1745665152735192037777/112928634 |
j-invariant |
L |
9.2061759038185 |
L(r)(E,1)/r! |
Ω |
0.12316457846087 |
Real period |
R |
37.373472225659 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991676 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36582g4 |
Quadratic twists by: -3 |