Atkin-Lehner |
2- 3+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
84162j |
Isogeny class |
Conductor |
84162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-971961476638464 = -1 · 28 · 36 · 137 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20537,1871111] |
[a1,a2,a3,a4,a6] |
j |
-198461344537/201367296 |
j-invariant |
L |
3.6043125606778 |
L(r)(E,1)/r! |
Ω |
0.45053907305729 |
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 |
6474e1 |
Quadratic twists by: 13 |