Atkin-Lehner |
2- 3- 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42642k |
Isogeny class |
Conductor |
42642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37120 |
Modular degree for the optimal curve |
Δ |
-1678644972 = -1 · 22 · 311 · 23 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -6 -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1274,17925] |
[a1,a2,a3,a4,a6] |
Generators |
[5:105:1] |
Generators of the group modulo torsion |
j |
-313461959257/2302668 |
j-invariant |
L |
11.390328156127 |
L(r)(E,1)/r! |
Ω |
1.5035949579438 |
Real period |
R |
1.8938491539801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14214c1 |
Quadratic twists by: -3 |