Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472bl |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
22998834331648 = 214 · 75 · 174 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 4 4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14257,608527] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:833:1] |
Generators of the group modulo torsion |
j |
234219472/16807 |
j-invariant |
L |
11.562213309595 |
L(r)(E,1)/r! |
Ω |
0.66261907288118 |
Real period |
R |
0.5816420427218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999798347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472cp1 8092h1 129472h1 |
Quadratic twists by: -4 8 17 |