Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966dv |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
1001049778616815872 = 28 · 34 · 76 · 177 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-481769,-119407527] |
[a1,a2,a3,a4,a6] |
j |
4354703137/352512 |
j-invariant |
L |
5.8286293024804 |
L(r)(E,1)/r! |
Ω |
0.18214466530345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1734i1 4998bd1 |
Quadratic twists by: -7 17 |