Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720ba |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-26578125000000 = -1 · 26 · 35 · 512 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2940,254538] |
[a1,a2,a3,a4,a6] |
Generators |
[21:450:1] |
Generators of the group modulo torsion |
j |
-43927191786304/415283203125 |
j-invariant |
L |
4.9572079699012 |
L(r)(E,1)/r! |
Ω |
0.57055757374768 |
Real period |
R |
0.57922380936248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720m1 3360b4 20160bc1 33600bb1 |
Quadratic twists by: -4 8 -3 5 |