Atkin-Lehner |
2- 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111202be |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
80256 |
Modular degree for the optimal curve |
Δ |
-10362247168 = -1 · 211 · 72 · 133 · 47 |
Discriminant |
Eigenvalues |
2- -2 0 7- 2 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,42,4900] |
[a1,a2,a3,a4,a6] |
Generators |
[14:84:1] [-12:58:1] |
Generators of the group modulo torsion |
j |
3723875/4716544 |
j-invariant |
L |
13.071818035669 |
L(r)(E,1)/r! |
Ω |
1.0055442180871 |
Real period |
R |
0.29544874128606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111202g1 |
Quadratic twists by: 13 |