Atkin-Lehner |
2- 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
36312j |
Isogeny class |
Conductor |
36312 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
11097960450048 = 211 · 36 · 174 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2768352,-1773806112] |
[a1,a2,a3,a4,a6] |
Generators |
[681456144:277943419215:4096] |
Generators of the group modulo torsion |
j |
1145665534186448040386/5418926001 |
j-invariant |
L |
9.3223665960743 |
L(r)(E,1)/r! |
Ω |
0.11704266829407 |
Real period |
R |
13.274883328093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72624e4 108936d4 |
Quadratic twists by: -4 -3 |