Atkin-Lehner |
2- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
9940d |
Isogeny class |
Conductor |
9940 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-9355448480000 = -1 · 28 · 54 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -3 3 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-667780,-210260972] |
[a1,a2,a3,a4,a6] |
j |
-128642544175666893136/36544720625 |
j-invariant |
L |
2.3381328132361 |
L(r)(E,1)/r! |
Ω |
0.083504743329859 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39760x1 89460g1 49700a1 69580d1 |
Quadratic twists by: -4 -3 5 -7 |