Atkin-Lehner |
3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13167h |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
903023634231660249 = 320 · 72 · 114 · 192 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11+ 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-945086,350903036] |
[a1,a2,a3,a4,a6] |
Generators |
[1287:34924:1] |
Generators of the group modulo torsion |
j |
128058892751492323993/1238715547642881 |
j-invariant |
L |
2.5443504986674 |
L(r)(E,1)/r! |
Ω |
0.28136560582119 |
Real period |
R |
4.5214312730966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4389j2 92169v2 |
Quadratic twists by: -3 -7 |