Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
103428o |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-209627498714519808 = -1 · 28 · 310 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78585,20331038] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:4394:1] [26:4732:1] |
Generators of the group modulo torsion |
j |
59582000/232713 |
j-invariant |
L |
11.396599563516 |
L(r)(E,1)/r! |
Ω |
0.2253675992402 |
Real period |
R |
4.2140779483442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34476a2 7956f2 |
Quadratic twists by: -3 13 |