Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600er |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10752000000 = 215 · 3 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22433,1300737] |
[a1,a2,a3,a4,a6] |
Generators |
[88:19:1] [91:68:1] |
Generators of the group modulo torsion |
j |
2438569736/21 |
j-invariant |
L |
7.102788412619 |
L(r)(E,1)/r! |
Ω |
1.1529536256723 |
Real period |
R |
6.1605152665852 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600gv4 16800q3 100800ma4 1344s3 |
Quadratic twists by: -4 8 -3 5 |