Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560cv |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-5126565412864000 = -1 · 217 · 53 · 74 · 194 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2252,-3445104] |
[a1,a2,a3,a4,a6] |
Generators |
[1920:84084:1] |
Generators of the group modulo torsion |
j |
-9636491538/39112590125 |
j-invariant |
L |
5.8331744652168 |
L(r)(E,1)/r! |
Ω |
0.19562229399544 |
Real period |
R |
4.9697594499337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42560bo3 10640b4 |
Quadratic twists by: -4 8 |