Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224dq |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-728755119858253824 = -1 · 217 · 39 · 710 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 5 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-259308,65345616] |
[a1,a2,a3,a4,a6] |
Generators |
[765:17739:1] |
Generators of the group modulo torsion |
j |
-2646 |
j-invariant |
L |
5.5054764676287 |
L(r)(E,1)/r! |
Ω |
0.26808937481547 |
Real period |
R |
5.1339935342628 |
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 |
28224m1 7056e1 28224dp1 28224cy1 |
Quadratic twists by: -4 8 -3 -7 |