Atkin-Lehner |
2- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200ct |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-80494592000 = -1 · 217 · 53 · 173 |
Discriminant |
Eigenvalues |
2- 1 5- -4 2 -5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2113,39103] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:272:1] [18:85:1] |
Generators of the group modulo torsion |
j |
-63710026/4913 |
j-invariant |
L |
8.4444311572709 |
L(r)(E,1)/r! |
Ω |
1.0627298349479 |
Real period |
R |
0.33108254482843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27200bl1 6800g1 27200cq1 |
Quadratic twists by: -4 8 5 |