Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
25230q |
Isogeny class |
Conductor |
25230 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
7373547832320 = 210 · 310 · 5 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-75171,7900353] |
[a1,a2,a3,a4,a6] |
Generators |
[147:158:1] |
Generators of the group modulo torsion |
j |
1926109896270461/302330880 |
j-invariant |
L |
5.257888903314 |
L(r)(E,1)/r! |
Ω |
0.71895315582331 |
Real period |
R |
0.73132565880358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75690w3 126150bh3 25230h3 |
Quadratic twists by: -3 5 29 |