Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200bc |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-133128000000000 = -1 · 212 · 32 · 59 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12367,-163137] |
[a1,a2,a3,a4,a6] |
Generators |
[993:31500:1] |
Generators of the group modulo torsion |
j |
3268147904/2080125 |
j-invariant |
L |
9.2341677637963 |
L(r)(E,1)/r! |
Ω |
0.33515082135495 |
Real period |
R |
3.4440344259234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200br2 20640r2 |
Quadratic twists by: -4 5 |