Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cw |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
439040000000000 = 217 · 510 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-476408,-126720812] |
[a1,a2,a3,a4,a6] |
Generators |
[1318:39200:1] |
Generators of the group modulo torsion |
j |
544737993463/20000 |
j-invariant |
L |
3.7988668674406 |
L(r)(E,1)/r! |
Ω |
0.18172123263364 |
Real period |
R |
2.6131143375381 |
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 |
2450g2 78400ii2 3920w2 19600cu2 |
Quadratic twists by: -4 8 5 -7 |