Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965m |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-1060865960643652275 = -1 · 318 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-171271,-56625740] |
[a1,a2,a3,a4,a6] |
Generators |
[584:6547:1] |
Generators of the group modulo torsion |
j |
-96381443866624/184024732275 |
j-invariant |
L |
4.2652572987439 |
L(r)(E,1)/r! |
Ω |
0.11044692616085 |
Real period |
R |
3.2181801756168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
41895bh1 69825f1 13965i1 |
Quadratic twists by: -3 5 -7 |