Atkin-Lehner |
2- 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78792u |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
643588971984 = 24 · 36 · 77 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7219,-230516] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:49:1] [125:897:1] |
Generators of the group modulo torsion |
j |
22105827328/341901 |
j-invariant |
L |
8.3111379884565 |
L(r)(E,1)/r! |
Ω |
0.51842066905686 |
Real period |
R |
4.0079121476473 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11256g1 |
Quadratic twists by: -7 |