Atkin-Lehner |
2- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38870bc |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-107880387852250 = -1 · 2 · 53 · 138 · 232 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 3 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-152973311,-728247858365] |
[a1,a2,a3,a4,a6] |
Generators |
[25411521038791004087800690:-4415654563983011481872636735:726294874914827459864] |
Generators of the group modulo torsion |
j |
-485315200723323670609/132250 |
j-invariant |
L |
5.4954666819874 |
L(r)(E,1)/r! |
Ω |
0.021464246256792 |
Real period |
R |
42.671478080659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38870s2 |
Quadratic twists by: 13 |