Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968cs |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
72 |
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] |
Generators |
[293:5508:1] |
Generators of the group modulo torsion |
j |
2836568000000/1643943843 |
j-invariant |
L |
7.1278285221559 |
L(r)(E,1)/r! |
Ω |
0.32508734387437 |
Real period |
R |
0.30452621503863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968bt1 79968bk1 |
Quadratic twists by: -4 -7 |