Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69938r |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-4869922816 = -1 · 213 · 112 · 173 |
Discriminant |
Eigenvalues |
2- -2 1 -5 11- -6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,300,-2672] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-148:1] |
Generators of the group modulo torsion |
j |
5021863/8192 |
j-invariant |
L |
4.5145123264265 |
L(r)(E,1)/r! |
Ω |
0.72111709254317 |
Real period |
R |
0.24078626249322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69938h1 69938p1 |
Quadratic twists by: -11 17 |