Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520k |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-275461419870000 = -1 · 24 · 39 · 54 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5022,-810189] |
[a1,a2,a3,a4,a6] |
Generators |
[787:21970:1] |
Generators of the group modulo torsion |
j |
-44477724672/874680625 |
j-invariant |
L |
5.6379234311967 |
L(r)(E,1)/r! |
Ω |
0.23704536457774 |
Real period |
R |
2.9730192365588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760z1 65520e1 |
Quadratic twists by: -4 -3 |