Atkin-Lehner |
2+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45632b |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-5938660917248 = -1 · 214 · 233 · 313 |
Discriminant |
Eigenvalues |
2+ -1 0 5 6 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2193,124465] |
[a1,a2,a3,a4,a6] |
j |
-71222578000/362467097 |
j-invariant |
L |
3.9373573420023 |
L(r)(E,1)/r! |
Ω |
0.65622622364761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45632t2 2852a2 |
Quadratic twists by: -4 8 |