Atkin-Lehner |
3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70395q |
Isogeny class |
Conductor |
70395 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6797894575095 = 32 · 5 · 132 · 197 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-278201048,1785996558011] |
[a1,a2,a3,a4,a6] |
j |
50614900703283430575361/144495 |
j-invariant |
L |
0.9507029040691 |
L(r)(E,1)/r! |
Ω |
0.23767573090563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3705e5 |
Quadratic twists by: -19 |