Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91035f |
Isogeny class |
Conductor |
91035 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-2205786088570476195 = -1 · 312 · 5 · 7 · 179 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -6 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-367608,111649153] |
[a1,a2,a3,a4,a6] |
j |
-312217698304/125355195 |
j-invariant |
L |
0.97593272884149 |
L(r)(E,1)/r! |
Ω |
0.24398317585741 |
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 |
30345i1 5355o1 |
Quadratic twists by: -3 17 |