Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650cr |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
883851264000 = 218 · 36 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7715,258787] |
[a1,a2,a3,a4,a6] |
Generators |
[43:50:1] |
Generators of the group modulo torsion |
j |
557238592989/9699328 |
j-invariant |
L |
7.7778486919034 |
L(r)(E,1)/r! |
Ω |
0.88835830028207 |
Real period |
R |
0.48640588484235 |
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 |
1850f1 16650bi1 |
Quadratic twists by: -3 5 |