Atkin-Lehner |
3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
51675j |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
18137925 = 34 · 52 · 132 · 53 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -3 1 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-278,1868] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:58:1] [6:19:1] |
Generators of the group modulo torsion |
j |
95384842240/725517 |
j-invariant |
L |
4.1950566678814 |
L(r)(E,1)/r! |
Ω |
2.1925752359529 |
Real period |
R |
0.4783252815104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51675ba1 |
Quadratic twists by: 5 |