Atkin-Lehner |
2+ 3+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
6162c |
Isogeny class |
Conductor |
6162 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
11760 |
Modular degree for the optimal curve |
Δ |
1903539011712 = 27 · 3 · 137 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 0 13- 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19010,998772] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:1104:1] |
Generators of the group modulo torsion |
j |
759811318037187625/1903539011712 |
j-invariant |
L |
2.6784335061615 |
L(r)(E,1)/r! |
Ω |
0.83457644404688 |
Real period |
R |
0.45847610575692 |
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 |
49296bb1 18486x1 80106u1 |
Quadratic twists by: -4 -3 13 |