Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3300a |
Isogeny class |
Conductor |
3300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-45272595667200 = -1 · 28 · 3 · 52 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2508,328152] |
[a1,a2,a3,a4,a6] |
j |
-272709010000/7073843073 |
j-invariant |
L |
1.6054083943827 |
L(r)(E,1)/r! |
Ω |
0.53513613146089 |
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 |
13200cj2 52800cu2 9900n2 3300o2 |
Quadratic twists by: -4 8 -3 5 |