Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160ck |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-109990379520 = -1 · 220 · 34 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-336,16020] |
[a1,a2,a3,a4,a6] |
j |
-1027243729/26853120 |
j-invariant |
L |
3.5346065886114 |
L(r)(E,1)/r! |
Ω |
0.8836516475663 |
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 |
7770p1 |
Quadratic twists by: -4 |