Atkin-Lehner |
3- 5- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
51255f |
Isogeny class |
Conductor |
51255 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
-20758275 = -1 · 36 · 52 · 17 · 67 |
Discriminant |
Eigenvalues |
2 3- 5- 0 1 -6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-57,-275] |
[a1,a2,a3,a4,a6] |
Generators |
[12390:92845:216] |
Generators of the group modulo torsion |
j |
-28094464/28475 |
j-invariant |
L |
12.878012268363 |
L(r)(E,1)/r! |
Ω |
0.83475804554261 |
Real period |
R |
7.7136197351122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5695a1 |
Quadratic twists by: -3 |