Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200gd |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
114885734400000000 = 218 · 310 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121633,851137] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:4000:1] |
Generators of the group modulo torsion |
j |
48587168449/28048275 |
j-invariant |
L |
3.6881904543373 |
L(r)(E,1)/r! |
Ω |
0.28269637931977 |
Real period |
R |
1.6308090260012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200cx2 22800cz2 18240cv2 |
Quadratic twists by: -4 8 5 |