Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fk |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
642853712793600 = 212 · 32 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43920,3340800] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:2058:1] |
Generators of the group modulo torsion |
j |
19443408769/1334025 |
j-invariant |
L |
6.6447225680329 |
L(r)(E,1)/r! |
Ω |
0.50255370632628 |
Real period |
R |
1.6527394243695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999722567 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8085w2 18480cw2 |
Quadratic twists by: -4 -7 |