Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21700d |
Isogeny class |
Conductor |
21700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
101520 |
Modular degree for the optimal curve |
Δ |
-2485010306800 = -1 · 24 · 52 · 7 · 316 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 1 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327725,-72212555] |
[a1,a2,a3,a4,a6] |
j |
-9731783465405280000/6212525767 |
j-invariant |
L |
1.7958276517707 |
L(r)(E,1)/r! |
Ω |
0.099768202876148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86800w1 21700f1 |
Quadratic twists by: -4 5 |