Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032r |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1642592749392 = 24 · 38 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19110,1014937] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:1323:1] |
Generators of the group modulo torsion |
j |
562432000/1197 |
j-invariant |
L |
6.0763609069427 |
L(r)(E,1)/r! |
Ω |
0.8440290248253 |
Real period |
R |
0.899904021169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344bc1 9576i1 |
Quadratic twists by: -3 -7 |