Atkin-Lehner |
2+ 3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810bj |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
557056 |
Modular degree for the optimal curve |
Δ |
-154782661017600 = -1 · 216 · 38 · 52 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8820,680400] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-750:1] |
Generators of the group modulo torsion |
j |
-104094944089921/212321894400 |
j-invariant |
L |
5.0462197683763 |
L(r)(E,1)/r! |
Ω |
0.51338098087404 |
Real period |
R |
1.22867323873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999773949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cy1 |
Quadratic twists by: -3 |