Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33320k |
Isogeny class |
Conductor |
33320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-13600224400000000 = -1 · 210 · 58 · 76 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-172496,28082704] |
[a1,a2,a3,a4,a6] |
Generators |
[144:2500:1] |
Generators of the group modulo torsion |
j |
-4711672753924/112890625 |
j-invariant |
L |
2.1533898119272 |
L(r)(E,1)/r! |
Ω |
0.39676390081876 |
Real period |
R |
1.35684585183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66640e2 680c2 |
Quadratic twists by: -4 -7 |