Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386bc |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
207809077147080192 = 29 · 39 · 710 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -7 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1106111,-446946713] |
[a1,a2,a3,a4,a6] |
Generators |
[-617:902:1] |
Generators of the group modulo torsion |
j |
26918309691/37376 |
j-invariant |
L |
7.4167452744107 |
L(r)(E,1)/r! |
Ω |
0.14722654495161 |
Real period |
R |
2.7986896267216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64386g1 64386y1 |
Quadratic twists by: -3 -7 |