Atkin-Lehner |
2- 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38592bm |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-23162254000128 = -1 · 218 · 39 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6804,-83376] |
[a1,a2,a3,a4,a6] |
Generators |
[16:172:1] |
Generators of the group modulo torsion |
j |
6751269/4489 |
j-invariant |
L |
2.9057343286138 |
L(r)(E,1)/r! |
Ω |
0.38458357491574 |
Real period |
R |
3.7777670682468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592d2 9648e2 38592bl2 |
Quadratic twists by: -4 8 -3 |