Atkin-Lehner |
2- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
50470o |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
49925529640000 = 26 · 54 · 76 · 1032 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14097,-543679] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:344:1] |
Generators of the group modulo torsion |
j |
2633217234129/424360000 |
j-invariant |
L |
8.8097375293735 |
L(r)(E,1)/r! |
Ω |
0.44292349383501 |
Real period |
R |
1.657497975002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1030c2 |
Quadratic twists by: -7 |