Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920ct |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-251894530944000000 = -1 · 213 · 312 · 56 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-222123,46975322] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:9000:1] |
Generators of the group modulo torsion |
j |
-405897921250921/84358968750 |
j-invariant |
L |
6.5284826688068 |
L(r)(E,1)/r! |
Ω |
0.2982437824307 |
Real period |
R |
1.3681095518634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999821854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490bq2 38640bx2 |
Quadratic twists by: -4 -3 |