Atkin-Lehner |
2- 3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370x |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1028764078290000 = 24 · 310 · 54 · 134 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53978,4587081] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:2967:1] |
Generators of the group modulo torsion |
j |
23858273225418841/1411199010000 |
j-invariant |
L |
7.8724971629714 |
L(r)(E,1)/r! |
Ω |
0.4848173276707 |
Real period |
R |
0.50743965260558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790d3 |
Quadratic twists by: -3 |