Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680bx |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-134690174402560 = -1 · 239 · 5 · 72 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -3 -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10145,679615] |
[a1,a2,a3,a4,a6] |
Generators |
[3441:32768:27] |
Generators of the group modulo torsion |
j |
-8990558521/10485760 |
j-invariant |
L |
3.3890957035359 |
L(r)(E,1)/r! |
Ω |
0.52876102563007 |
Real period |
R |
1.602375902941 |
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 |
15680dr2 490b2 78400ch2 15680b2 |
Quadratic twists by: -4 8 5 -7 |