Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054u |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36720 |
Modular degree for the optimal curve |
Δ |
-2623493505024 = -1 · 217 · 35 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 5 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1797,-83408] |
[a1,a2,a3,a4,a6] |
j |
-13086527004313/53540683776 |
j-invariant |
L |
3.3422751274909 |
L(r)(E,1)/r! |
Ω |
0.33422751274909 |
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 |
96432bx1 36162cu1 12054b1 |
Quadratic twists by: -4 -3 -7 |