Atkin-Lehner |
2- 3+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650bw |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-13797000000 = -1 · 26 · 33 · 56 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2813,56531] |
[a1,a2,a3,a4,a6] |
Generators |
[35:32:1] |
Generators of the group modulo torsion |
j |
-157551496201/883008 |
j-invariant |
L |
9.3353121904565 |
L(r)(E,1)/r! |
Ω |
1.261611690071 |
Real period |
R |
0.61662608903003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3066e1 |
Quadratic twists by: 5 |