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 |
-158595897218062122 = -1 · 2 · 39 · 7 · 134 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124101,-25469465] |
[a1,a2,a3,a4,a6] |
Generators |
[1485:54605:1] [732555:55604819:125] |
Generators of the group modulo torsion |
j |
-289950589066145617/217552671081018 |
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 |
36582g3 |
Quadratic twists by: -3 |