Atkin-Lehner |
2+ 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800k |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-24769087200000000 = -1 · 211 · 39 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2469208,-1492625588] |
[a1,a2,a3,a4,a6] |
j |
-2081166981965810/30961359 |
j-invariant |
L |
3.2517974594916 |
L(r)(E,1)/r! |
Ω |
0.060218472894475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800cu1 |
Quadratic twists by: 5 |