Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224da |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-326420926562304 = -1 · 221 · 33 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 3 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-292236,-60812528] |
[a1,a2,a3,a4,a6] |
j |
-67645179/8 |
j-invariant |
L |
3.2853604687943 |
L(r)(E,1)/r! |
Ω |
0.10266751464982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224e1 7056be1 28224dd2 28224ec1 |
Quadratic twists by: -4 8 -3 -7 |