Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200cz |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
64623225600000000 = 214 · 312 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-131633,13678863] |
[a1,a2,a3,a4,a6] |
Generators |
[-401:1464:1] [-182:5625:1] |
Generators of the group modulo torsion |
j |
985329269584/252434475 |
j-invariant |
L |
12.481651114937 |
L(r)(E,1)/r! |
Ω |
0.32666978539475 |
Real period |
R |
0.79601606836737 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200fw2 5700f2 18240n2 |
Quadratic twists by: -4 8 5 |