Atkin-Lehner |
2+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360i |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-124570361722880000 = -1 · 214 · 54 · 173 · 195 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 -2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-235141,-47136605] |
[a1,a2,a3,a4,a6] |
j |
-87758805275616256/7603171491875 |
j-invariant |
L |
1.0786840054507 |
L(r)(E,1)/r! |
Ω |
0.10786840475152 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360bm1 12920c1 |
Quadratic twists by: -4 8 |