Atkin-Lehner |
2+ 3- 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17958f |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
123415493992394418 = 2 · 324 · 41 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-808671,279323512] |
[a1,a2,a3,a4,a6] |
Generators |
[-4781854:-247777911:10648] |
Generators of the group modulo torsion |
j |
58484199134911519131625/123415493992394418 |
j-invariant |
L |
4.9452800369119 |
L(r)(E,1)/r! |
Ω |
0.33114052670083 |
Real period |
R |
11.200562083526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
53874l2 |
Quadratic twists by: -3 |