Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400ba |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
35734092840000000 = 29 · 312 · 57 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-250408,47281688] |
[a1,a2,a3,a4,a6] |
Generators |
[38:6150:1] |
Generators of the group modulo torsion |
j |
217060129661192/4466761605 |
j-invariant |
L |
9.0286867054198 |
L(r)(E,1)/r! |
Ω |
0.36647840815913 |
Real period |
R |
0.51325708644379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999982984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400h2 19680p2 |
Quadratic twists by: -4 5 |