Atkin-Lehner |
2- 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
9292d |
Isogeny class |
Conductor |
9292 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-1985849072 = -1 · 24 · 233 · 1012 |
Discriminant |
Eigenvalues |
2- 3 2 4 4 3 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1549,-23563] |
[a1,a2,a3,a4,a6] |
j |
-25689637893888/124115567 |
j-invariant |
L |
6.8470531531929 |
L(r)(E,1)/r! |
Ω |
0.38039184184405 |
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 |
37168g1 83628b1 |
Quadratic twists by: -4 -3 |