Atkin-Lehner |
2+ 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17856j |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5241346159804416 = -1 · 233 · 39 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 -3 -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26676,-3052944] |
[a1,a2,a3,a4,a6] |
Generators |
[168:2484:1] [238:4096:1] |
Generators of the group modulo torsion |
j |
406869021/1015808 |
j-invariant |
L |
5.6048905913932 |
L(r)(E,1)/r! |
Ω |
0.22204287827411 |
Real period |
R |
3.1552974334056 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17856bn2 558b2 17856i1 |
Quadratic twists by: -4 8 -3 |