Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400im |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-8780800 = -1 · 210 · 52 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -1 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233,-1457] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1211:1] |
Generators of the group modulo torsion |
j |
-160000 |
j-invariant |
L |
4.6895925889391 |
L(r)(E,1)/r! |
Ω |
0.61053862288781 |
Real period |
R |
3.8405372014934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400cd1 19600cq1 78400kr1 78400id1 |
Quadratic twists by: -4 8 5 -7 |