Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520ej |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
10385312071680 = 214 · 37 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14187,-631654] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:126:1] |
Generators of the group modulo torsion |
j |
105756712489/3478020 |
j-invariant |
L |
8.0500754198651 |
L(r)(E,1)/r! |
Ω |
0.43833110507143 |
Real period |
R |
0.76522018469056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190bo1 21840bj1 |
Quadratic twists by: -4 -3 |