Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200cm |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-1708392448000000000 = -1 · 227 · 59 · 73 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 7 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-654008,-213284012] |
[a1,a2,a3,a4,a6] |
Generators |
[9318:896000:1] |
Generators of the group modulo torsion |
j |
-483385461758641/26693632000 |
j-invariant |
L |
4.3762568147596 |
L(r)(E,1)/r! |
Ω |
0.083672469431074 |
Real period |
R |
1.0896298100855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650d1 10640v1 |
Quadratic twists by: -4 5 |