Atkin-Lehner |
5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12325a |
Isogeny class |
Conductor |
12325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-3853460649840203125 = -1 · 56 · 17 · 299 |
Discriminant |
Eigenvalues |
1 0 5+ 5 0 -7 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-193517,100016766] |
[a1,a2,a3,a4,a6] |
Generators |
[66427174:2971275738:357911] |
Generators of the group modulo torsion |
j |
-51293497953529377/246621481589773 |
j-invariant |
L |
5.8021633625032 |
L(r)(E,1)/r! |
Ω |
0.215454193717 |
Real period |
R |
13.464958055364 |
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 |
110925bm1 493a1 |
Quadratic twists by: -3 5 |