Atkin-Lehner |
2- 3+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42024f |
Isogeny class |
Conductor |
42024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-20423664 = -1 · 24 · 36 · 17 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 -3 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76,-311] |
[a1,a2,a3,a4,a6] |
Generators |
[12:19:1] [13:27:1] |
Generators of the group modulo torsion |
j |
-3074301184/1276479 |
j-invariant |
L |
6.8820638371116 |
L(r)(E,1)/r! |
Ω |
0.79148370899547 |
Real period |
R |
2.1737856884786 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84048d1 126072i1 |
Quadratic twists by: -4 -3 |