Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ii |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
28098560000000000 = 223 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1905633,-1011860863] |
[a1,a2,a3,a4,a6] |
Generators |
[-4580746577:-857520000:5735339] |
Generators of the group modulo torsion |
j |
544737993463/20000 |
j-invariant |
L |
9.3506133030858 |
L(r)(E,1)/r! |
Ω |
0.12849631588083 |
Real period |
R |
9.0961881244246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400cv2 19600cw2 15680dt2 78400it2 |
Quadratic twists by: -4 8 5 -7 |