Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ew |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-23514624000000 = -1 · 215 · 38 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4767,194337] |
[a1,a2,a3,a4,a6] |
Generators |
[48:729:1] |
Generators of the group modulo torsion |
j |
23393656/45927 |
j-invariant |
L |
4.7891588418983 |
L(r)(E,1)/r! |
Ω |
0.46580011093143 |
Real period |
R |
2.5703937856099 |
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 |
33600fx3 16800u4 100800mt3 1344q4 |
Quadratic twists by: -4 8 -3 5 |