Atkin-Lehner |
3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70395g |
Isogeny class |
Conductor |
70395 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
27951869141015625 = 32 · 58 · 132 · 196 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2933132,1932267651] |
[a1,a2,a3,a4,a6] |
Generators |
[7166:36127:8] |
Generators of the group modulo torsion |
j |
59319456301170001/594140625 |
j-invariant |
L |
7.6628186361448 |
L(r)(E,1)/r! |
Ω |
0.3381854768696 |
Real period |
R |
2.8323283968469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999782 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
195a5 |
Quadratic twists by: -19 |