Atkin-Lehner |
2+ 11+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15686d |
Isogeny class |
Conductor |
15686 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4999123634307352 = -1 · 23 · 113 · 232 · 316 |
Discriminant |
Eigenvalues |
2+ -2 0 2 11+ 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,42514,436824] |
[a1,a2,a3,a4,a6] |
Generators |
[5622:152619:8] |
Generators of the group modulo torsion |
j |
8498343892448702375/4999123634307352 |
j-invariant |
L |
2.8796592421651 |
L(r)(E,1)/r! |
Ω |
0.2622953334668 |
Real period |
R |
3.659563444641 |
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 |
125488j4 |
Quadratic twists by: -4 |