Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600hp |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-6175160712000000000 = -1 · 212 · 38 · 59 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-628833,-226335537] |
[a1,a2,a3,a4,a6] |
Generators |
[3957:243432:1] |
Generators of the group modulo torsion |
j |
-29218112/6561 |
j-invariant |
L |
9.9103679493771 |
L(r)(E,1)/r! |
Ω |
0.083767141859472 |
Real period |
R |
3.6971417748288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999964203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600ft2 117600bl2 2400z2 |
Quadratic twists by: -4 5 -7 |