Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200ci |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
43776000000000 = 217 · 32 · 59 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-404833,99277537] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:10125:1] |
Generators of the group modulo torsion |
j |
28662399178/171 |
j-invariant |
L |
3.6921176486494 |
L(r)(E,1)/r! |
Ω |
0.57044814732195 |
Real period |
R |
3.2361553582065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200iw2 11400q2 91200eu2 |
Quadratic twists by: -4 8 5 |