Atkin-Lehner |
7- 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
12719b |
Isogeny class |
Conductor |
12719 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
89033 = 72 · 23 · 79 |
Discriminant |
Eigenvalues |
1 2 0 7- 0 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9690,-371209] |
[a1,a2,a3,a4,a6] |
Generators |
[335126844160003999530:-3920788181673910795627:1794809382990183000] |
Generators of the group modulo torsion |
j |
100638712207923625/89033 |
j-invariant |
L |
8.0641933334441 |
L(r)(E,1)/r! |
Ω |
0.48118576916526 |
Real period |
R |
33.518004272792 |
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 |
114471v2 89033b2 |
Quadratic twists by: -3 -7 |