Atkin-Lehner |
2+ 3- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
123354be |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4772290160195712 = 27 · 38 · 72 · 114 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-809588619,-8866144216251] |
[a1,a2,a3,a4,a6] |
Generators |
[10831080065:-1250352961194:274625] |
Generators of the group modulo torsion |
j |
80498792723520730276086668209/6546351385728 |
j-invariant |
L |
3.9581446402208 |
L(r)(E,1)/r! |
Ω |
0.028303064173127 |
Real period |
R |
17.481078299697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41118w2 |
Quadratic twists by: -3 |