Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530p |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
84103308450 = 2 · 36 · 52 · 74 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2115,35275] |
[a1,a2,a3,a4,a6] |
Generators |
[5:155:1] |
Generators of the group modulo torsion |
j |
1435630901041/115368050 |
j-invariant |
L |
3.2188420529124 |
L(r)(E,1)/r! |
Ω |
1.0547284549106 |
Real period |
R |
0.38147757817736 |
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 |
2170p2 97650de2 |
Quadratic twists by: -3 5 |