Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600cm |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4233600 |
Modular degree for the optimal curve |
Δ |
-6.8435203015168E+21 |
Discriminant |
Eigenvalues |
2- -2 5- 3 11+ 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4125792,-2330374412] |
[a1,a2,a3,a4,a6] |
Generators |
[605587384545253548:7234274064637184111258:4243659659] |
Generators of the group modulo torsion |
j |
4854288821119295/4277200188448 |
j-invariant |
L |
4.8086751836064 |
L(r)(E,1)/r! |
Ω |
0.07316407346663 |
Real period |
R |
32.862270755056 |
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 |
10450bf1 83600bh1 |
Quadratic twists by: -4 5 |