Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224bd |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-428813188302276288 = -1 · 26 · 319 · 78 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1609356,786457154] |
[a1,a2,a3,a4,a6] |
j |
-1713910976512/1594323 |
j-invariant |
L |
1.1850829000586 |
L(r)(E,1)/r! |
Ω |
0.29627072501462 |
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 |
28224es2 441e2 9408c2 28224bx2 |
Quadratic twists by: -4 8 -3 -7 |