Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3400d |
Isogeny class |
Conductor |
3400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1806250000000000 = -1 · 210 · 514 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -2 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88008,-10284512] |
[a1,a2,a3,a4,a6] |
Generators |
[588:11900:1] |
Generators of the group modulo torsion |
j |
-4711672753924/112890625 |
j-invariant |
L |
2.2058042202164 |
L(r)(E,1)/r! |
Ω |
0.13839599830574 |
Real period |
R |
3.9845881514282 |
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 |
6800c2 27200k2 30600cj2 680c2 |
Quadratic twists by: -4 8 -3 5 |