Atkin-Lehner |
2- 3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370x |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
26405621049600 = 28 · 38 · 52 · 132 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10058,-296823] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:303:1] |
Generators of the group modulo torsion |
j |
154344300453721/36221702400 |
j-invariant |
L |
7.8724971629714 |
L(r)(E,1)/r! |
Ω |
0.4848173276707 |
Real period |
R |
1.0148793052112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000507 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23790d2 |
Quadratic twists by: -3 |