Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200c |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-342102016000000 = -1 · 218 · 56 · 174 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1100,-890000] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2400:1] |
Generators of the group modulo torsion |
j |
-35937/83521 |
j-invariant |
L |
3.6361711461449 |
L(r)(E,1)/r! |
Ω |
0.24461478715768 |
Real period |
R |
1.858110863 |
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 |
27200br3 425a4 1088e4 |
Quadratic twists by: -4 8 5 |