Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386q |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2804895221184 = -1 · 26 · 36 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 6 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3519,-7043] |
[a1,a2,a3,a4,a6] |
Generators |
[20232:214549:512] |
Generators of the group modulo torsion |
j |
56181887/32704 |
j-invariant |
L |
6.3216846427148 |
L(r)(E,1)/r! |
Ω |
0.4763998218862 |
Real period |
R |
6.6348520213035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7154k1 9198e1 |
Quadratic twists by: -3 -7 |