Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680co |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-256901120 = -1 · 220 · 5 · 72 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -6 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,159,1] |
[a1,a2,a3,a4,a6] |
Generators |
[13:64:1] |
Generators of the group modulo torsion |
j |
34391/20 |
j-invariant |
L |
2.6718227538158 |
L(r)(E,1)/r! |
Ω |
1.0540950106397 |
Real period |
R |
0.6336769282767 |
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 |
15680m1 3920bd1 78400hr1 15680db1 |
Quadratic twists by: -4 8 5 -7 |