Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688t |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
6866936832 = 210 · 3 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 4 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,8016] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:98:1] |
Generators of the group modulo torsion |
j |
470596/57 |
j-invariant |
L |
3.9591921317063 |
L(r)(E,1)/r! |
Ω |
1.284493193759 |
Real period |
R |
0.77057475877293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344x1 912d1 |
Quadratic twists by: -4 -7 |