Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200q |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-696320000000000 = -1 · 222 · 510 · 17 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 4 3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12500,1150000] |
[a1,a2,a3,a4,a6] |
Generators |
[54:1408:1] |
Generators of the group modulo torsion |
j |
84375/272 |
j-invariant |
L |
3.5565128789137 |
L(r)(E,1)/r! |
Ω |
0.35975962395361 |
Real period |
R |
2.4714508258522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27200cf1 850i1 27200bn1 |
Quadratic twists by: -4 8 5 |