Atkin-Lehner |
3- 7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
71757r |
Isogeny class |
Conductor |
71757 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-1545628773591 = -1 · 310 · 73 · 17 · 672 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-716,60446] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-246:1] |
Generators of the group modulo torsion |
j |
-55611739513/2120204079 |
j-invariant |
L |
3.1561778594793 |
L(r)(E,1)/r! |
Ω |
0.7047465276488 |
Real period |
R |
0.74640969849601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23919e1 |
Quadratic twists by: -3 |