Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46512p |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-169139100450816 = -1 · 226 · 33 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13773,66802] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:1653:8] |
Generators of the group modulo torsion |
j |
2612676520917/1529397248 |
j-invariant |
L |
7.7915276483467 |
L(r)(E,1)/r! |
Ω |
0.34685051076248 |
Real period |
R |
5.6159119033865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5814a1 46512t1 |
Quadratic twists by: -4 -3 |