Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14440a |
Isogeny class |
Conductor |
14440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
4170272000 = 28 · 53 · 194 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 5 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,-2781] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:38:1] |
Generators of the group modulo torsion |
j |
369664/125 |
j-invariant |
L |
2.9938540307077 |
L(r)(E,1)/r! |
Ω |
1.047137096514 |
Real period |
R |
0.23825708851579 |
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 |
28880a1 115520t1 129960co1 72200y1 |
Quadratic twists by: -4 8 -3 5 |