Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600er |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
28224000000 = 212 · 32 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1433,19737] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:144:1] [-23:200:1] |
Generators of the group modulo torsion |
j |
5088448/441 |
j-invariant |
L |
7.102788412619 |
L(r)(E,1)/r! |
Ω |
1.1529536256723 |
Real period |
R |
1.5401288166463 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600gv2 16800q1 100800ma2 1344s2 |
Quadratic twists by: -4 8 -3 5 |