Atkin-Lehner |
2+ 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6042b |
Isogeny class |
Conductor |
6042 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
8523073732608 = 214 · 33 · 193 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6119,-121803] |
[a1,a2,a3,a4,a6] |
j |
25344046984866553/8523073732608 |
j-invariant |
L |
1.6632881606423 |
L(r)(E,1)/r! |
Ω |
0.55442938688077 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48336bk1 18126s1 114798bb1 |
Quadratic twists by: -4 -3 -19 |