Atkin-Lehner |
3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345i |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-158339435443875 = -1 · 32 · 53 · 73 · 177 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 6 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3578205,-2604036922] |
[a1,a2,a3,a4,a6] |
j |
-209906535145406464/6559875 |
j-invariant |
L |
1.3172387109011 |
L(r)(E,1)/r! |
Ω |
0.054884946287596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91035f2 1785l2 |
Quadratic twists by: -3 17 |