Atkin-Lehner |
2+ 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25830i |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
1384306404768000 = 28 · 37 · 53 · 7 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81180,8741200] |
[a1,a2,a3,a4,a6] |
j |
81160802762719681/1898911392000 |
j-invariant |
L |
1.9195140622061 |
L(r)(E,1)/r! |
Ω |
0.47987851555155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610m1 129150dg1 |
Quadratic twists by: -3 5 |