Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ik |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-752953600000000 = -1 · 214 · 58 · 76 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17967,946063] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1000:1] |
Generators of the group modulo torsion |
j |
21296/25 |
j-invariant |
L |
3.5873192721509 |
L(r)(E,1)/r! |
Ω |
0.33757739731624 |
Real period |
R |
1.3283321474629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979225 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400cb2 19600co2 15680cp2 1600r2 |
Quadratic twists by: -4 8 5 -7 |