Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600d |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1612800 = -1 · 210 · 32 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[8:21:1] |
Generators of the group modulo torsion |
j |
1280/63 |
j-invariant |
L |
4.5815542548257 |
L(r)(E,1)/r! |
Ω |
1.27788283965 |
Real period |
R |
1.7926347051036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600gm1 2100j1 100800dg1 33600dj1 |
Quadratic twists by: -4 8 -3 5 |