Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fk |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
15027749130240 = 212 · 34 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8640,-243648] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:216:1] |
Generators of the group modulo torsion |
j |
148035889/31185 |
j-invariant |
L |
6.6447225680329 |
L(r)(E,1)/r! |
Ω |
0.50255370632628 |
Real period |
R |
3.305478848739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999722567 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8085w1 18480cw1 |
Quadratic twists by: -4 -7 |