Atkin-Lehner |
2- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
39760x |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
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 |
2.3371353387907 |
L(r)(E,1)/r! |
Ω |
0.58428383471052 |
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 |
9940d1 |
Quadratic twists by: -4 |