Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600ed |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-37024595836928000 = -1 · 220 · 53 · 710 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 0 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12005,9243850] |
[a1,a2,a3,a4,a6] |
j |
1323/256 |
j-invariant |
L |
1.1288005079641 |
L(r)(E,1)/r! |
Ω |
0.28220012699102 |
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 |
2450bg1 78400lb1 19600eb1 19600dj1 |
Quadratic twists by: -4 8 5 -7 |