Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042dc |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-50411662837536 = -1 · 25 · 3 · 710 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52872,-4696224] |
[a1,a2,a3,a4,a6] |
j |
-57865677457/178464 |
j-invariant |
L |
1.573920794442 |
L(r)(E,1)/r! |
Ω |
0.15739207945397 |
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 |
126126cp1 42042bu1 |
Quadratic twists by: -3 -7 |