Atkin-Lehner |
2+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
39592d |
Isogeny class |
Conductor |
39592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
149054694656 = 28 · 78 · 101 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 0 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2809,-53283] |
[a1,a2,a3,a4,a6] |
j |
81415168/4949 |
j-invariant |
L |
5.2660797514063 |
L(r)(E,1)/r! |
Ω |
0.65825996893362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79184g1 5656b1 |
Quadratic twists by: -4 -7 |