Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054t |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1620732624 = -1 · 24 · 3 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 2 -1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2182,-39448] |
[a1,a2,a3,a4,a6] |
j |
-9759185353/13776 |
j-invariant |
L |
2.7940421586496 |
L(r)(E,1)/r! |
Ω |
0.3492552698312 |
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 |
96432bw1 36162ct1 1722b1 |
Quadratic twists by: -4 -3 -7 |