Atkin-Lehner |
2+ 3+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498a |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
233856 |
Modular degree for the optimal curve |
Δ |
40394813797548 = 22 · 39 · 78 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 3 2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8682,60920] |
[a1,a2,a3,a4,a6] |
Generators |
[4:160:1] |
Generators of the group modulo torsion |
j |
637875/356 |
j-invariant |
L |
5.6912757803843 |
L(r)(E,1)/r! |
Ω |
0.55833322740204 |
Real period |
R |
2.548332921955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498bb1 78498g1 |
Quadratic twists by: -3 -7 |