Atkin-Lehner |
2+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
99400f |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-198800000000 = -1 · 210 · 58 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 3 -5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1325,10750] |
[a1,a2,a3,a4,a6] |
Generators |
[55:500:1] |
Generators of the group modulo torsion |
j |
16078716/12425 |
j-invariant |
L |
4.4624443667838 |
L(r)(E,1)/r! |
Ω |
0.64457483838346 |
Real period |
R |
1.7307704571432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19880j1 |
Quadratic twists by: 5 |