Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020d |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-346223255343750000 = -1 · 24 · 33 · 59 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18207,-28293967] |
[a1,a2,a3,a4,a6] |
j |
64012032/33203125 |
j-invariant |
L |
1.7029518468813 |
L(r)(E,1)/r! |
Ω |
0.14191265394948 |
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 |
52020k2 3060e1 |
Quadratic twists by: -3 17 |