Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224fn |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-1.0758065268128E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -1 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5503092,461721904] |
[a1,a2,a3,a4,a6] |
j |
2731405432/1594323 |
j-invariant |
L |
1.2392077796537 |
L(r)(E,1)/r! |
Ω |
0.077450486228349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224fm1 14112q1 9408cs1 28224em1 |
Quadratic twists by: -4 8 -3 -7 |