Atkin-Lehner |
3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
33033h |
Isogeny class |
Conductor |
33033 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-323250618935787543 = -1 · 312 · 74 · 117 · 13 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2236,27355340] |
[a1,a2,a3,a4,a6] |
Generators |
[3438:81383:8] |
Generators of the group modulo torsion |
j |
697864103/182466547263 |
j-invariant |
L |
2.2286055689446 |
L(r)(E,1)/r! |
Ω |
0.24172593990006 |
Real period |
R |
4.6097774402407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99099bh3 3003e4 |
Quadratic twists by: -3 -11 |