Atkin-Lehner |
3+ 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128325l |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4171748533787109375 = 316 · 59 · 292 · 59 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 0 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-534825,113825250] |
[a1,a2,a3,a4,a6] |
Generators |
[710:9270:1] |
Generators of the group modulo torsion |
j |
8662236591230117/2135935249299 |
j-invariant |
L |
7.9832214478174 |
L(r)(E,1)/r! |
Ω |
0.23129261648624 |
Real period |
R |
4.3144598028077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999377136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128325z2 |
Quadratic twists by: 5 |