Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32300j |
Isogeny class |
Conductor |
32300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
158689900000000 = 28 · 58 · 174 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 0 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14575,-302250] |
[a1,a2,a3,a4,a6] |
Generators |
[215:2550:1] |
Generators of the group modulo torsion |
j |
85603083984/39672475 |
j-invariant |
L |
5.2400013302583 |
L(r)(E,1)/r! |
Ω |
0.4542830425545 |
Real period |
R |
0.96122183004254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129200ce2 6460a2 |
Quadratic twists by: -4 5 |