Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300bm |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-4983698070000 = -1 · 24 · 33 · 54 · 13 · 175 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -4 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9758,383013] |
[a1,a2,a3,a4,a6] |
Generators |
[73:-255:1] |
Generators of the group modulo torsion |
j |
-10276628550400/498369807 |
j-invariant |
L |
5.8618165117532 |
L(r)(E,1)/r! |
Ω |
0.75998185512668 |
Real period |
R |
0.17140223580671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66300i1 |
Quadratic twists by: 5 |