Atkin-Lehner |
5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10045j |
Isogeny class |
Conductor |
10045 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-123604980625 = -1 · 54 · 76 · 412 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- 6 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-785,18850] |
[a1,a2,a3,a4,a6] |
Generators |
[15:95:1] |
Generators of the group modulo torsion |
j |
-454756609/1050625 |
j-invariant |
L |
2.1956601728125 |
L(r)(E,1)/r! |
Ω |
0.92665170142225 |
Real period |
R |
0.5923639295764 |
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 |
90405y2 50225e2 205b2 |
Quadratic twists by: -3 5 -7 |