Atkin-Lehner |
2- 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490cd |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
988416 |
Modular degree for the optimal curve |
Δ |
-73608301726248960 = -1 · 212 · 36 · 5 · 118 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61531,-14319535] |
[a1,a2,a3,a4,a6] |
j |
-120188964049/343388160 |
j-invariant |
L |
3.3694461237661 |
L(r)(E,1)/r! |
Ω |
0.14039359119874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
83490t1 |
Quadratic twists by: -11 |