Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920w |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-96749614080 = -1 · 210 · 36 · 5 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,477,14418] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-126:1] |
Generators of the group modulo torsion |
j |
16078716/129605 |
j-invariant |
L |
5.6926920696217 |
L(r)(E,1)/r! |
Ω |
0.77914727554887 |
Real period |
R |
0.91328883647529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960n2 12880j2 |
Quadratic twists by: -4 -3 |