Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
75852n |
Isogeny class |
Conductor |
75852 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33724676903516928 = 28 · 312 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128919,15471358] |
[a1,a2,a3,a4,a6] |
Generators |
[4578:90895:8] |
Generators of the group modulo torsion |
j |
10792418128/1536003 |
j-invariant |
L |
6.934035012887 |
L(r)(E,1)/r! |
Ω |
0.35380777512223 |
Real period |
R |
4.8995778923661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000494 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25284n2 10836e2 |
Quadratic twists by: -3 -7 |