Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288y |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-186595078768 = -1 · 24 · 79 · 172 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 0 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11384,464197] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-49:1] |
Generators of the group modulo torsion |
j |
-299944192/343 |
j-invariant |
L |
4.2068163165308 |
L(r)(E,1)/r! |
Ω |
1.0063980612938 |
Real period |
R |
1.045017994095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999606202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16184e1 113288bd1 |
Quadratic twists by: -7 17 |