Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480bu |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-236722466901196800 = -1 · 225 · 314 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 -5 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103827,26716754] |
[a1,a2,a3,a4,a6] |
j |
-41454067728529/79277875200 |
j-invariant |
L |
2.2337039485517 |
L(r)(E,1)/r! |
Ω |
0.2792129935774 |
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 |
5310g1 14160o1 |
Quadratic twists by: -4 -3 |