Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680dc |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-46118408000 = -1 · 26 · 53 · 78 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,-13250] |
[a1,a2,a3,a4,a6] |
Generators |
[35:20:1] |
Generators of the group modulo torsion |
j |
-153664/125 |
j-invariant |
L |
3.7658949782043 |
L(r)(E,1)/r! |
Ω |
0.43376152287929 |
Real period |
R |
2.893982660646 |
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 |
15680cz1 7840a1 78400fz1 15680cd1 |
Quadratic twists by: -4 8 5 -7 |