Atkin-Lehner |
2- 3- 7+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
34314u |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-17416849216032 = -1 · 25 · 32 · 72 · 192 · 434 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6167,-74119] |
[a1,a2,a3,a4,a6] |
Generators |
[302:-5569:1] |
Generators of the group modulo torsion |
j |
25938278919803375/17416849216032 |
j-invariant |
L |
10.427001454765 |
L(r)(E,1)/r! |
Ω |
0.39318557800569 |
Real period |
R |
0.66298219200025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942n2 |
Quadratic twists by: -3 |