Atkin-Lehner |
2- 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170t |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-3251631600 = -1 · 24 · 39 · 52 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,52,-2753] |
[a1,a2,a3,a4,a6] |
j |
804357/165200 |
j-invariant |
L |
2.6675555031499 |
L(r)(E,1)/r! |
Ω |
0.66688887579201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37170h1 |
Quadratic twists by: -3 |