Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37926t |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
802968497702784 = 27 · 311 · 77 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 2 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42786,3132436] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:1994:1] |
Generators of the group modulo torsion |
j |
100999381393/9362304 |
j-invariant |
L |
3.8496405054627 |
L(r)(E,1)/r! |
Ω |
0.48961391739819 |
Real period |
R |
0.49141277043316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642w1 5418d1 |
Quadratic twists by: -3 -7 |