Atkin-Lehner |
2+ 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106782b |
Isogeny class |
Conductor |
106782 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
4006247076 = 22 · 32 · 133 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1619,-25575] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:20:1] [-23:24:1] |
Generators of the group modulo torsion |
j |
9274236301/79092 |
j-invariant |
L |
8.4165517321416 |
L(r)(E,1)/r! |
Ω |
0.75296771066739 |
Real period |
R |
5.5889194272761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995491 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106782n1 |
Quadratic twists by: 37 |