Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
106848bb |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-1200769830296064 = -1 · 29 · 38 · 74 · 533 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -1 -2 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18651,-1934098] |
[a1,a2,a3,a4,a6] |
Generators |
[3893:242746:1] |
Generators of the group modulo torsion |
j |
-1922350562504/3217083093 |
j-invariant |
L |
8.7329816409727 |
L(r)(E,1)/r! |
Ω |
0.19318109235797 |
Real period |
R |
5.6507740679673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106848q1 35616c1 |
Quadratic twists by: -4 -3 |