Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600dt |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5429409750000 = -1 · 24 · 36 · 56 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -6 -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3975,-57125] |
[a1,a2,a3,a4,a6] |
Generators |
[4718:4257:343] |
Generators of the group modulo torsion |
j |
38112512/29791 |
j-invariant |
L |
5.9475723259625 |
L(r)(E,1)/r! |
Ω |
0.4245932048094 |
Real period |
R |
7.0038478187964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999045029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27900k2 12400p2 4464u2 |
Quadratic twists by: -4 -3 5 |