Atkin-Lehner |
3- 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
105825f |
Isogeny class |
Conductor |
105825 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
226560 |
Modular degree for the optimal curve |
Δ |
6509229609375 = 310 · 57 · 17 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -3 -3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4688,13617] |
[a1,a2,a3,a4,a6] |
Generators |
[-514:2057:8] [-53:364:1] |
Generators of the group modulo torsion |
j |
729243027001/416590695 |
j-invariant |
L |
7.3442145674565 |
L(r)(E,1)/r! |
Ω |
0.64385165382256 |
Real period |
R |
0.28516718588711 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999965726 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21165c1 |
Quadratic twists by: 5 |