Atkin-Lehner |
5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16225a |
Isogeny class |
Conductor |
16225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-2991484375 = -1 · 57 · 11 · 592 |
Discriminant |
Eigenvalues |
-1 2 5+ -4 11+ -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-463,-4844] |
[a1,a2,a3,a4,a6] |
Generators |
[1542:9985:27] |
Generators of the group modulo torsion |
j |
-702595369/191455 |
j-invariant |
L |
3.2738214260849 |
L(r)(E,1)/r! |
Ω |
0.50739865994482 |
Real period |
R |
6.4521680574421 |
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 |
3245a1 |
Quadratic twists by: 5 |