Atkin-Lehner |
2- 3+ 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
44622d |
Isogeny class |
Conductor |
44622 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
1848713020416 = 210 · 39 · 372 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10694,423253] |
[a1,a2,a3,a4,a6] |
Generators |
[29:355:1] |
Generators of the group modulo torsion |
j |
6870919898331/93924352 |
j-invariant |
L |
11.238130502585 |
L(r)(E,1)/r! |
Ω |
0.83681510479036 |
Real period |
R |
1.3429645853968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44622b1 |
Quadratic twists by: -3 |