Atkin-Lehner |
3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
1935a |
Isogeny class |
Conductor |
1935 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
7086181640625 = 33 · 514 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 -4 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-78128,-8384838] |
[a1,a2,a3,a4,a6] |
Generators |
[-55552:36282:343] |
Generators of the group modulo torsion |
j |
1953326569433829507/262451171875 |
j-invariant |
L |
1.9864762125349 |
L(r)(E,1)/r! |
Ω |
0.28556291967522 |
Real period |
R |
6.9563520879886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30960w1 123840bc1 1935c1 9675c1 |
Quadratic twists by: -4 8 -3 5 |