Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200bk |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1114112000000000 = -1 · 225 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 6 -3 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28833,2485537] |
[a1,a2,a3,a4,a6] |
Generators |
[1017:32000:1] |
Generators of the group modulo torsion |
j |
-5177717/2176 |
j-invariant |
L |
4.6319290291794 |
L(r)(E,1)/r! |
Ω |
0.45860915253564 |
Real period |
R |
1.2624936189045 |
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 |
27200cr1 850c1 27200bc1 |
Quadratic twists by: -4 8 5 |