Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3300c |
Isogeny class |
Conductor |
3300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
65340000000 = 28 · 33 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17908,928312] |
[a1,a2,a3,a4,a6] |
j |
158792223184/16335 |
j-invariant |
L |
2.1136694557088 |
L(r)(E,1)/r! |
Ω |
1.0568347278544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13200cm2 52800dg2 9900u2 660c2 |
Quadratic twists by: -4 8 -3 5 |