Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88088l |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
25218361168 = 24 · 72 · 114 · 133 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 11- 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-887,6422] |
[a1,a2,a3,a4,a6] |
Generators |
[29:77:1] |
Generators of the group modulo torsion |
j |
329832448/107653 |
j-invariant |
L |
8.761439493366 |
L(r)(E,1)/r! |
Ω |
1.1010787790843 |
Real period |
R |
0.66309511347149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88088v1 |
Quadratic twists by: -11 |