Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7280b |
Isogeny class |
Conductor |
7280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
998816000 = 28 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-476,-3860] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:16:1] |
Generators of the group modulo torsion |
j |
46689225424/3901625 |
j-invariant |
L |
2.054976025643 |
L(r)(E,1)/r! |
Ω |
1.0273647285829 |
Real period |
R |
2.0002400009173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3640d1 29120ch1 65520bf1 36400q1 |
Quadratic twists by: -4 8 -3 5 |