Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840v |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-6858545164128000 = -1 · 28 · 37 · 53 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9687,-4001366] |
[a1,a2,a3,a4,a6] |
Generators |
[435:8608:1] |
Generators of the group modulo torsion |
j |
-538671647824/36750606375 |
j-invariant |
L |
6.2310443568878 |
L(r)(E,1)/r! |
Ω |
0.18525782833541 |
Real period |
R |
5.6057409403149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680ca1 14280bv1 |
Quadratic twists by: -4 -3 |