Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760bp |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-93711975039774000 = -1 · 24 · 314 · 53 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,87558,-10838851] |
[a1,a2,a3,a4,a6] |
Generators |
[278:-5915:1] |
Generators of the group modulo torsion |
j |
6364491337435136/8034291412875 |
j-invariant |
L |
5.8952693948011 |
L(r)(E,1)/r! |
Ω |
0.18095868463142 |
Real period |
R |
0.90494404025131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520bd1 10920c1 |
Quadratic twists by: -4 -3 |