Atkin-Lehner |
2+ 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
125800d |
Isogeny class |
Conductor |
125800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51072 |
Modular degree for the optimal curve |
Δ |
-6843520000 = -1 · 210 · 54 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 0 -6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275,4350] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:68:1] [15:60:1] |
Generators of the group modulo torsion |
j |
-3593700/10693 |
j-invariant |
L |
12.406013715259 |
L(r)(E,1)/r! |
Ω |
1.1704917393924 |
Real period |
R |
0.88324798968177 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125800m1 |
Quadratic twists by: 5 |