Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680k |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-439040000000 = -1 · 214 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 -1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,859,30659] |
[a1,a2,a3,a4,a6] |
j |
12459008/78125 |
j-invariant |
L |
1.3631211476069 |
L(r)(E,1)/r! |
Ω |
0.68156057380344 |
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 |
15680ck1 1960g1 78400bt1 15680bq1 |
Quadratic twists by: -4 8 5 -7 |