Atkin-Lehner |
2- 7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
63784p |
Isogeny class |
Conductor |
63784 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
4900652288 = 28 · 75 · 17 · 67 |
Discriminant |
Eigenvalues |
2- -2 2 7- 3 -3 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-817,8067] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-98:1] |
Generators of the group modulo torsion |
j |
235874710528/19143173 |
j-invariant |
L |
5.194176452882 |
L(r)(E,1)/r! |
Ω |
1.3363254752843 |
Real period |
R |
0.38869097001333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568h1 |
Quadratic twists by: -4 |