Atkin-Lehner |
2+ 11- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94622f |
Isogeny class |
Conductor |
94622 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-5541442808 = -1 · 23 · 116 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 1 -4 -3 11- -6 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7263,237642] |
[a1,a2,a3,a4,a6] |
Generators |
[54:33:1] |
Generators of the group modulo torsion |
j |
-23912763841/3128 |
j-invariant |
L |
1.6933029734155 |
L(r)(E,1)/r! |
Ω |
1.3045582042683 |
Real period |
R |
0.64899479175723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
782b1 |
Quadratic twists by: -11 |