Atkin-Lehner |
2+ 3+ 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101178i |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
2822386547783303424 = 28 · 39 · 78 · 113 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-400398,54657620] |
[a1,a2,a3,a4,a6] |
Generators |
[631:6961:1] |
Generators of the group modulo torsion |
j |
360668927379566259/143392092048128 |
j-invariant |
L |
2.8621525697726 |
L(r)(E,1)/r! |
Ω |
0.23145502264759 |
Real period |
R |
0.51524635712629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845797 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101178be1 |
Quadratic twists by: -3 |