Atkin-Lehner |
2+ 3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170f |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
392901149491200000 = 218 · 39 · 55 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42828009,107890456013] |
[a1,a2,a3,a4,a6] |
Generators |
[3827:3249:1] |
Generators of the group modulo torsion |
j |
441383486809470093057987/19961446400000 |
j-invariant |
L |
4.1973796972832 |
L(r)(E,1)/r! |
Ω |
0.22372685452038 |
Real period |
R |
1.8761179592333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37170r1 |
Quadratic twists by: -3 |