Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296do |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
29982948250484736 = 217 · 36 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78924,1851280] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1445:1] |
Generators of the group modulo torsion |
j |
569001644066/313788397 |
j-invariant |
L |
7.3525482815318 |
L(r)(E,1)/r! |
Ω |
0.32302951637669 |
Real period |
R |
1.8967689400022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296bn2 31824l2 14144y2 |
Quadratic twists by: -4 8 -3 |