Atkin-Lehner |
2- 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410ba |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-65653812900 = -1 · 22 · 36 · 52 · 132 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-698,14397] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:153:1] |
Generators of the group modulo torsion |
j |
-51520374361/90060100 |
j-invariant |
L |
10.160197319179 |
L(r)(E,1)/r! |
Ω |
0.98532603596506 |
Real period |
R |
1.2889385015718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004258 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490e2 |
Quadratic twists by: -3 |