Atkin-Lehner |
2- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600bh |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1011500000000 = 28 · 59 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5375,-143750] |
[a1,a2,a3,a4,a6] |
Generators |
[-7626:9683:216] |
Generators of the group modulo torsion |
j |
34347024/2023 |
j-invariant |
L |
4.1167501698995 |
L(r)(E,1)/r! |
Ω |
0.55962919351091 |
Real period |
R |
7.3562105365782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11900h2 47600bq2 |
Quadratic twists by: -4 5 |