Atkin-Lehner |
2+ 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34850c |
Isogeny class |
Conductor |
34850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
489984 |
Modular degree for the optimal curve |
Δ |
-7686069920000000 = -1 · 211 · 57 · 17 · 414 |
Discriminant |
Eigenvalues |
2+ -3 5+ -2 0 -7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33292,-4814384] |
[a1,a2,a3,a4,a6] |
Generators |
[779:20623:1] |
Generators of the group modulo torsion |
j |
-261174445778961/491908474880 |
j-invariant |
L |
1.4370277049366 |
L(r)(E,1)/r! |
Ω |
0.16642094044571 |
Real period |
R |
1.0793621441863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6970g1 |
Quadratic twists by: 5 |