Atkin-Lehner |
2- 3- 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42642n |
Isogeny class |
Conductor |
42642 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
1326336768 = 28 · 37 · 23 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 -3 -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-275,51] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:-18:1] [-13:42:1] |
Generators of the group modulo torsion |
j |
3144219625/1819392 |
j-invariant |
L |
12.204698815552 |
L(r)(E,1)/r! |
Ω |
1.2864592046883 |
Real period |
R |
0.29647021576439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14214a1 |
Quadratic twists by: -3 |