Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600ch |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-440000000000000 = -1 · 215 · 513 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11- -2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-325633,-71420863] |
[a1,a2,a3,a4,a6] |
Generators |
[737:9400:1] |
Generators of the group modulo torsion |
j |
-7458308028872/859375 |
j-invariant |
L |
3.0400103166051 |
L(r)(E,1)/r! |
Ω |
0.099927343708085 |
Real period |
R |
3.80277585168 |
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 |
17600bp1 8800o1 3520bg1 |
Quadratic twists by: -4 8 5 |