Atkin-Lehner |
2+ 3- 5- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
28470j |
Isogeny class |
Conductor |
28470 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21440 |
Modular degree for the optimal curve |
Δ |
-1626263340 = -1 · 22 · 3 · 5 · 135 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,252,-1154] |
[a1,a2,a3,a4,a6] |
j |
1779919481159/1626263340 |
j-invariant |
L |
1.6440024355666 |
L(r)(E,1)/r! |
Ω |
0.82200121778316 |
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 |
85410t1 |
Quadratic twists by: -3 |