Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042ba |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
2878848 |
Modular degree for the optimal curve |
Δ |
-2.1434846614117E+22 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1019517,-7032745730] |
[a1,a2,a3,a4,a6] |
Generators |
[3050:-157896:1] |
Generators of the group modulo torsion |
j |
20329346580026519/3718228368007296 |
j-invariant |
L |
5.7325607110752 |
L(r)(E,1)/r! |
Ω |
0.057050517337194 |
Real period |
R |
0.98511947344109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126eh1 42042w1 |
Quadratic twists by: -3 -7 |