Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600fh |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-25200000000 = -1 · 210 · 32 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,167,7537] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:75:1] |
Generators of the group modulo torsion |
j |
1280/63 |
j-invariant |
L |
4.0304557468908 |
L(r)(E,1)/r! |
Ω |
0.90620429443401 |
Real period |
R |
0.74127062584859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600dj1 8400cl1 100800ol1 33600gm1 |
Quadratic twists by: -4 8 -3 5 |