Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42050bi |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
19800 |
Modular degree for the optimal curve |
Δ |
-16820000 = -1 · 25 · 54 · 292 |
Discriminant |
Eigenvalues |
2- -3 5- 0 5 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,45,147] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] |
Generators of the group modulo torsion |
j |
19575/32 |
j-invariant |
L |
5.8077167597564 |
L(r)(E,1)/r! |
Ω |
1.4987715875923 |
Real period |
R |
0.25833230394977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42050h1 42050r1 |
Quadratic twists by: 5 29 |