Atkin-Lehner |
2- 3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110838cl |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-894174578141574912 = -1 · 28 · 3 · 710 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-91778,46729668] |
[a1,a2,a3,a4,a6] |
Generators |
[2622:56313:8] |
Generators of the group modulo torsion |
j |
-726693935892625/7600358508288 |
j-invariant |
L |
14.967284317994 |
L(r)(E,1)/r! |
Ω |
0.23883016831358 |
Real period |
R |
3.9168220532505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15834j1 |
Quadratic twists by: -7 |