Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ey |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
168591360000000000 = 224 · 3 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-561972033,5127858515937] |
[a1,a2,a3,a4,a6] |
Generators |
[14843:237524:1] |
Generators of the group modulo torsion |
j |
4791901410190533590281/41160000 |
j-invariant |
L |
5.5863721543263 |
L(r)(E,1)/r! |
Ω |
0.15983736668823 |
Real period |
R |
5.8250585893165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600cd8 8400cf7 100800mw8 6720bw7 |
Quadratic twists by: -4 8 -3 5 |