Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224dp |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-999664087597056 = -1 · 217 · 33 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -5 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28812,-2420208] |
[a1,a2,a3,a4,a6] |
Generators |
[226:1616:1] |
Generators of the group modulo torsion |
j |
-2646 |
j-invariant |
L |
5.600005130737 |
L(r)(E,1)/r! |
Ω |
0.17983933041804 |
Real period |
R |
3.8923668127265 |
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 |
28224l1 7056f1 28224dq1 28224cz1 |
Quadratic twists by: -4 8 -3 -7 |