Atkin-Lehner |
3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
52185b |
Isogeny class |
Conductor |
52185 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-106541156925 = -1 · 35 · 52 · 72 · 713 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 0 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6318,-196587] |
[a1,a2,a3,a4,a6] |
j |
-569342884647481/2174309325 |
j-invariant |
L |
0.5353606239657 |
L(r)(E,1)/r! |
Ω |
0.26768031182681 |
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 |
52185l1 |
Quadratic twists by: -7 |