Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
93240cb |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
30179550240000 = 28 · 39 · 54 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11847,-420086] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:270:1] |
Generators of the group modulo torsion |
j |
985329269584/161713125 |
j-invariant |
L |
7.090040387312 |
L(r)(E,1)/r! |
Ω |
0.46270473348773 |
Real period |
R |
0.47884481358085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080k2 |
Quadratic twists by: -3 |