Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2156a |
Isogeny class |
Conductor |
2156 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-40087249664 = -1 · 28 · 76 · 113 |
Discriminant |
Eigenvalues |
2- -1 3 7- 11+ 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3789,91561] |
[a1,a2,a3,a4,a6] |
Generators |
[40:49:1] |
Generators of the group modulo torsion |
j |
-199794688/1331 |
j-invariant |
L |
3.0098174447311 |
L(r)(E,1)/r! |
Ω |
1.154329852607 |
Real period |
R |
1.3037077044892 |
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 |
8624ba2 34496bj2 19404bd2 53900j2 |
Quadratic twists by: -4 8 -3 5 |