Atkin-Lehner |
2- 3+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
79632n |
Isogeny class |
Conductor |
79632 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
674154717264 = 24 · 39 · 73 · 792 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2376,20655] |
[a1,a2,a3,a4,a6] |
Generators |
[-414:567:8] |
Generators of the group modulo torsion |
j |
4710334464/2140663 |
j-invariant |
L |
6.7861754719104 |
L(r)(E,1)/r! |
Ω |
0.8137273816524 |
Real period |
R |
2.7798726477783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19908d1 79632m1 |
Quadratic twists by: -4 -3 |