Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312n |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
85600865574977536 = 220 · 710 · 172 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121324,8149680] |
[a1,a2,a3,a4,a6] |
j |
6403769793/2775556 |
j-invariant |
L |
2.4575063554837 |
L(r)(E,1)/r! |
Ω |
0.30718829463042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53312bs2 1666k2 7616e2 |
Quadratic twists by: -4 8 -7 |