Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42050z |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
144851148800000000 = 219 · 58 · 294 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -2 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2159005,-1220359003] |
[a1,a2,a3,a4,a6] |
Generators |
[-841:520:1] |
Generators of the group modulo torsion |
j |
100709966211849/13107200 |
j-invariant |
L |
9.0047453412252 |
L(r)(E,1)/r! |
Ω |
0.12454880069883 |
Real period |
R |
1.9026034882232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410c1 42050d1 |
Quadratic twists by: 5 29 |