Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730cg |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-17895363696000000 = -1 · 210 · 38 · 56 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4037,6437949] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-2544:1] |
Generators of the group modulo torsion |
j |
-9978645018889/24547824000000 |
j-invariant |
L |
9.8255369931226 |
L(r)(E,1)/r! |
Ω |
0.31211581781398 |
Real period |
R |
0.13116841612859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910c1 |
Quadratic twists by: -3 |