Atkin-Lehner |
3- 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77775h |
Isogeny class |
Conductor |
77775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
-26686546875 = -1 · 33 · 56 · 17 · 612 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 3 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-158,7844] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:91:1] |
Generators of the group modulo torsion |
j |
-28094464/1707939 |
j-invariant |
L |
4.2943197165729 |
L(r)(E,1)/r! |
Ω |
0.98198134225196 |
Real period |
R |
0.72885290384642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3111a1 |
Quadratic twists by: 5 |