Atkin-Lehner |
2+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42050q |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-86249381545000 = -1 · 23 · 54 · 297 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 6 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10075,-215275] |
[a1,a2,a3,a4,a6] |
j |
304175/232 |
j-invariant |
L |
4.057825755827 |
L(r)(E,1)/r! |
Ω |
0.33815214631965 |
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 |
42050x1 1450i1 |
Quadratic twists by: 5 29 |