Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600fd |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-4.4827092576E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1741633,-1348608863] |
[a1,a2,a3,a4,a6] |
Generators |
[3357:175000:1] |
Generators of the group modulo torsion |
j |
-1141100604753992/875529151875 |
j-invariant |
L |
3.7848939370133 |
L(r)(E,1)/r! |
Ω |
0.063599884548349 |
Real period |
R |
1.8597193433857 |
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 |
33600gf3 16800bz4 100800nu3 6720ci4 |
Quadratic twists by: -4 8 -3 5 |