Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800bb |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
148480 |
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] |
Generators |
[50:1125:8] |
Generators of the group modulo torsion |
j |
159014/93 |
j-invariant |
L |
6.3576080351458 |
L(r)(E,1)/r! |
Ω |
0.32436584469132 |
Real period |
R |
2.4500144433212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600cg1 18600w1 55800cf1 |
Quadratic twists by: -4 -3 5 |