Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680be |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1180631244800000 = -1 · 216 · 55 · 78 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 2 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7775,-1629377] |
[a1,a2,a3,a4,a6] |
j |
137564/3125 |
j-invariant |
L |
2.3617980440089 |
L(r)(E,1)/r! |
Ω |
0.23617980440089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15680dd1 1960a1 78400f1 15680p1 |
Quadratic twists by: -4 8 5 -7 |