Atkin-Lehner |
2+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42848d |
Isogeny class |
Conductor |
42848 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-156644061184 = -1 · 212 · 135 · 103 |
Discriminant |
Eigenvalues |
2+ 0 3 2 4 13- 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-536,-19632] |
[a1,a2,a3,a4,a6] |
j |
-4157747712/38243179 |
j-invariant |
L |
4.3375646504236 |
L(r)(E,1)/r! |
Ω |
0.43375646505362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42848g1 85696bi1 |
Quadratic twists by: -4 8 |