Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ey |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.6578304E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-924033,-179172063] |
[a1,a2,a3,a4,a6] |
Generators |
[2352857:16785664:2197] |
Generators of the group modulo torsion |
j |
21302308926361/8930250000 |
j-invariant |
L |
5.5863721543263 |
L(r)(E,1)/r! |
Ω |
0.15983736668823 |
Real period |
R |
8.7375878839747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600cd2 8400cf2 100800mw2 6720bw2 |
Quadratic twists by: -4 8 -3 5 |