Atkin-Lehner |
2+ 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
107690r |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
270000 |
Modular degree for the optimal curve |
Δ |
-15766892900000 = -1 · 25 · 55 · 116 · 89 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1208,-189856] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1641:1] |
Generators of the group modulo torsion |
j |
109902239/8900000 |
j-invariant |
L |
5.4356643192341 |
L(r)(E,1)/r! |
Ω |
0.33199556128809 |
Real period |
R |
3.2745403425425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
890g1 |
Quadratic twists by: -11 |