Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121086bb |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2499840 |
Modular degree for the optimal curve |
Δ |
-1880194880474534736 = -1 · 24 · 39 · 7 · 318 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-575339,-180317941] |
[a1,a2,a3,a4,a6] |
j |
-33874537/3024 |
j-invariant |
L |
2.0696418103381 |
L(r)(E,1)/r! |
Ω |
0.08623504162917 |
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 |
40362p1 121086bp1 |
Quadratic twists by: -3 -31 |