Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968bt |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-329946105065472 = -1 · 212 · 39 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17267,-39227] |
[a1,a2,a3,a4,a6] |
j |
2836568000000/1643943843 |
j-invariant |
L |
2.5745448790482 |
L(r)(E,1)/r! |
Ω |
0.32181811208879 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968cs1 79968cd1 |
Quadratic twists by: -4 -7 |