Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650bl |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
94949946000000000 = 210 · 32 · 59 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-116826,-4062452] |
[a1,a2,a3,a4,a6] |
Generators |
[-274:2856:1] |
Generators of the group modulo torsion |
j |
90283180649381/48614372352 |
j-invariant |
L |
3.9133056430409 |
L(r)(E,1)/r! |
Ω |
0.27495231477059 |
Real period |
R |
3.5581675738082 |
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 |
109200eo1 40950ew1 13650ci1 95550cs1 |
Quadratic twists by: -4 -3 5 -7 |