Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bw |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1119552 |
Modular degree for the optimal curve |
Δ |
47748718188615444 = 22 · 3 · 78 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3553530,2576825523] |
[a1,a2,a3,a4,a6] |
j |
860833894093732321/8282804244 |
j-invariant |
L |
4.5226856259642 |
L(r)(E,1)/r! |
Ω |
0.32304897327268 |
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 |
126126bf1 42042dk1 |
Quadratic twists by: -3 -7 |