Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10150d |
Isogeny class |
Conductor |
10150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38304 |
Modular degree for the optimal curve |
Δ |
-767531273420800 = -1 · 219 · 52 · 74 · 293 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34322,-2778284] |
[a1,a2,a3,a4,a6] |
j |
-178858087240930785/30701250936832 |
j-invariant |
L |
0.69499598753039 |
L(r)(E,1)/r! |
Ω |
0.1737489968826 |
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 |
81200w1 91350ev1 10150n1 71050j1 |
Quadratic twists by: -4 -3 5 -7 |