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 |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
567000000 = 26 · 34 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308,-1638] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:18:1] [23:54:1] |
Generators of the group modulo torsion |
j |
3241792/567 |
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 |
33600gv1 16800q2 100800ma1 1344s1 |
Quadratic twists by: -4 8 -3 5 |