Atkin-Lehner |
5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111265f |
Isogeny class |
Conductor |
111265 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-6678681625 = -1 · 53 · 75 · 11 · 172 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 11- 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,461,987] |
[a1,a2,a3,a4,a6] |
Generators |
[3:47:1] |
Generators of the group modulo torsion |
j |
37608167159/23109625 |
j-invariant |
L |
3.4658355595223 |
L(r)(E,1)/r! |
Ω |
0.82240691635808 |
Real period |
R |
0.84285175817785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999497154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111265l1 |
Quadratic twists by: 17 |