Atkin-Lehner |
2+ 3- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550y |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
-98236356187500 = -1 · 22 · 33 · 56 · 175 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 2 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3251,481898] |
[a1,a2,a3,a4,a6] |
Generators |
[81:826:1] |
Generators of the group modulo torsion |
j |
-243087455521/6287126796 |
j-invariant |
L |
7.3816432766248 |
L(r)(E,1)/r! |
Ω |
0.50170588054944 |
Real period |
R |
0.49043629756749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4182e1 |
Quadratic twists by: 5 |