Atkin-Lehner |
3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075bu |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-479260546875 = -1 · 38 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
0 3- 5- -4 11+ -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5250,150156] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-113:1] |
Generators of the group modulo torsion |
j |
-56197120/1683 |
j-invariant |
L |
2.9261897411559 |
L(r)(E,1)/r! |
Ω |
0.93009533497532 |
Real period |
R |
0.52435301183958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14025x1 42075bc1 |
Quadratic twists by: -3 5 |