Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81984co |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-562525421617152 = -1 · 214 · 32 · 75 · 613 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 0 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1701,1140867] |
[a1,a2,a3,a4,a6] |
j |
-33240841216/34333827003 |
j-invariant |
L |
4.1806974323742 |
L(r)(E,1)/r! |
Ω |
0.41806975082348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984c1 20496c1 |
Quadratic twists by: -4 8 |