Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600dq |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-33313550400000000 = -1 · 212 · 36 · 58 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20700,-8856000] |
[a1,a2,a3,a4,a6] |
Generators |
[330:4500:1] |
Generators of the group modulo torsion |
j |
-21024576/714025 |
j-invariant |
L |
3.706563255587 |
L(r)(E,1)/r! |
Ω |
0.16064435371063 |
Real period |
R |
1.4420687583392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600do2 10400b4 18720k4 |
Quadratic twists by: -4 -3 5 |