Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400bs |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12192768 |
Modular degree for the optimal curve |
Δ |
-1.3934375E+26 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-231379008,-1468984984012] |
[a1,a2,a3,a4,a6] |
Generators |
[96631854802:-25794337956800:1295029] |
Generators of the group modulo torsion |
j |
-21405018343206000779641/2177246093750000000 |
j-invariant |
L |
7.024666933807 |
L(r)(E,1)/r! |
Ω |
0.01924393568406 |
Real period |
R |
15.209698285249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4550p1 7280u1 |
Quadratic twists by: -4 5 |