Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600gb |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-1.874923848E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1156367,-452309137] |
[a1,a2,a3,a4,a6] |
Generators |
[1073:45000:1] |
Generators of the group modulo torsion |
j |
667990736021936/732392128125 |
j-invariant |
L |
7.0824395732111 |
L(r)(E,1)/r! |
Ω |
0.096982494217708 |
Real period |
R |
1.3040717941529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600v2 8400bi2 100800lo2 6720br2 |
Quadratic twists by: -4 8 -3 5 |