Atkin-Lehner |
2- 3- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410t |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
171520 |
Modular degree for the optimal curve |
Δ |
-1185545974860 = -1 · 22 · 37 · 5 · 135 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2272,31151] |
[a1,a2,a3,a4,a6] |
j |
1779919481159/1626263340 |
j-invariant |
L |
4.5256411892143 |
L(r)(E,1)/r! |
Ω |
0.56570515824351 |
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 |
28470j1 |
Quadratic twists by: -3 |