Atkin-Lehner |
2- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
125800j |
Isogeny class |
Conductor |
125800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
251904 |
Modular degree for the optimal curve |
Δ |
1069300000000 = 28 · 58 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 -5 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28033,1796563] |
[a1,a2,a3,a4,a6] |
Generators |
[93:50:1] |
Generators of the group modulo torsion |
j |
609099080704/267325 |
j-invariant |
L |
8.4208737442262 |
L(r)(E,1)/r! |
Ω |
0.85963669026573 |
Real period |
R |
1.2244814918327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25160b1 |
Quadratic twists by: 5 |