Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680cy |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-786759680 = -1 · 216 · 5 · 74 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 2 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,1343] |
[a1,a2,a3,a4,a6] |
Generators |
[23:112:1] |
Generators of the group modulo torsion |
j |
-196/5 |
j-invariant |
L |
6.2280144744218 |
L(r)(E,1)/r! |
Ω |
1.334297186574 |
Real period |
R |
0.3889697223558 |
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 |
15680bf1 3920b1 78400gc1 15680ci1 |
Quadratic twists by: -4 8 5 -7 |