Atkin-Lehner |
2- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
69454x |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
24116231548024 = 23 · 73 · 118 · 41 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11- 0 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10227,319529] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:875:1] |
Generators of the group modulo torsion |
j |
66775173193/13612984 |
j-invariant |
L |
8.8696299630103 |
L(r)(E,1)/r! |
Ω |
0.63777240758558 |
Real period |
R |
0.77262235609225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6314a1 |
Quadratic twists by: -11 |