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 |
-3129774765238 = -1 · 2 · 11 · 236 · 312 |
Discriminant |
Eigenvalues |
2+ -2 0 2 11+ 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7741,274950] |
[a1,a2,a3,a4,a6] |
Generators |
[394380:8057195:21952] |
Generators of the group modulo torsion |
j |
-51290184785703625/3129774765238 |
j-invariant |
L |
2.8796592421651 |
L(r)(E,1)/r! |
Ω |
0.7868860004004 |
Real period |
R |
10.978690333923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
125488j2 |
Quadratic twists by: -4 |