Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7742k |
Isogeny class |
Conductor |
7742 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
10584 |
Modular degree for the optimal curve |
Δ |
1981952 = 29 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -1 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13537,609585] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-28:1] |
Generators of the group modulo torsion |
j |
5598411813720369/40448 |
j-invariant |
L |
4.6256735481717 |
L(r)(E,1)/r! |
Ω |
1.807124147738 |
Real period |
R |
0.28440975027531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61936t1 69678l1 7742i1 |
Quadratic twists by: -4 -3 -7 |