Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224h |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-2550163488768 = -1 · 214 · 33 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 0 3 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49392,-4225760] |
[a1,a2,a3,a4,a6] |
Generators |
[833:23079:1] |
Generators of the group modulo torsion |
j |
-5225472 |
j-invariant |
L |
3.5781937580471 |
L(r)(E,1)/r! |
Ω |
0.1601217839115 |
Real period |
R |
3.7244503013457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224dh1 3528n1 28224g1 28224t1 |
Quadratic twists by: -4 8 -3 -7 |