Atkin-Lehner |
5+ 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
104975i |
Isogeny class |
Conductor |
104975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16205515625 = 56 · 132 · 17 · 192 |
Discriminant |
Eigenvalues |
-1 -2 5+ -2 -2 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2138,-37733] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:24:1] |
Generators of the group modulo torsion |
j |
69173457625/1037153 |
j-invariant |
L |
2.1578962756976 |
L(r)(E,1)/r! |
Ω |
0.70273410197784 |
Real period |
R |
1.5353575826669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4199a2 |
Quadratic twists by: 5 |