Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18720bi |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-4981657075200000 = -1 · 212 · 311 · 55 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42072,706448] |
[a1,a2,a3,a4,a6] |
j |
2758136205824/1668346875 |
j-invariant |
L |
3.1832510141091 |
L(r)(E,1)/r! |
Ω |
0.26527091784243 |
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 |
18720i1 37440cg1 6240i1 93600bd1 |
Quadratic twists by: -4 8 -3 5 |