Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600cg |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
296960 |
Modular degree for the optimal curve |
Δ |
-271188000000000 = -1 · 211 · 37 · 59 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -3 4 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16125,81250] |
[a1,a2,a3,a4,a6] |
j |
159014/93 |
j-invariant |
L |
2.6662552523195 |
L(r)(E,1)/r! |
Ω |
0.33328194216222 |
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 |
55800bb1 37200bd1 111600ch1 |
Quadratic twists by: -4 -3 5 |