Atkin-Lehner |
3- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
65325m |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-1837265625 = -1 · 33 · 57 · 13 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 -3 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,162,1917] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-36:1] [33:192:1] |
Generators of the group modulo torsion |
j |
30080231/117585 |
j-invariant |
L |
8.440867397957 |
L(r)(E,1)/r! |
Ω |
1.0576587966371 |
Real period |
R |
0.66505910860179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13065e1 |
Quadratic twists by: 5 |