Atkin-Lehner |
2- 3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46920r |
Isogeny class |
Conductor |
46920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
-724822231987200 = -1 · 210 · 3 · 52 · 177 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 1 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-462816,-121349616] |
[a1,a2,a3,a4,a6] |
Generators |
[2402524608:-621171512380:35937] |
Generators of the group modulo torsion |
j |
-10706555865300331396/707834210925 |
j-invariant |
L |
5.9541772423544 |
L(r)(E,1)/r! |
Ω |
0.091519927419193 |
Real period |
R |
16.264701607231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93840e1 |
Quadratic twists by: -4 |