Atkin-Lehner |
2- 3- 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410bi |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-202215385077322500 = -1 · 22 · 312 · 54 · 134 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,82138,-19667239] |
[a1,a2,a3,a4,a6] |
j |
84068541396231911/277387359502500 |
j-invariant |
L |
5.1821629597002 |
L(r)(E,1)/r! |
Ω |
0.16194259224054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28470i2 |
Quadratic twists by: -3 |