Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ec |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2774532096 = -1 · 221 · 33 · 72 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5964,177296] |
[a1,a2,a3,a4,a6] |
Generators |
[50:64:1] |
Generators of the group modulo torsion |
j |
-67645179/8 |
j-invariant |
L |
4.6816572778141 |
L(r)(E,1)/r! |
Ω |
1.3791283168832 |
Real period |
R |
0.42433118989923 |
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 |
28224s1 7056bi1 28224dz2 28224da1 |
Quadratic twists by: -4 8 -3 -7 |