Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
103428bd |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-571946632295171328 = -1 · 28 · 36 · 139 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6591,-36386714] |
[a1,a2,a3,a4,a6] |
Generators |
[491:8874:1] [1715:70686:1] |
Generators of the group modulo torsion |
j |
-16/289 |
j-invariant |
L |
10.282964704733 |
L(r)(E,1)/r! |
Ω |
0.13259544282637 |
Real period |
R |
12.925236448451 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11492c2 103428ba2 |
Quadratic twists by: -3 13 |