Atkin-Lehner |
2+ 5+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111650b |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
681984 |
Modular degree for the optimal curve |
Δ |
-7107728320000000 = -1 · 212 · 57 · 74 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2042,-4055884] |
[a1,a2,a3,a4,a6] |
Generators |
[409:7758:1] |
Generators of the group modulo torsion |
j |
-60282398961/454894612480 |
j-invariant |
L |
3.4940811715924 |
L(r)(E,1)/r! |
Ω |
0.19073115079473 |
Real period |
R |
2.2899256163514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999996355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22330c1 |
Quadratic twists by: 5 |