Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680bm |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
48189030400 = 214 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1372,16464] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:147:1] |
Generators of the group modulo torsion |
j |
148176/25 |
j-invariant |
L |
4.5944417920685 |
L(r)(E,1)/r! |
Ω |
1.0791505535033 |
Real period |
R |
2.1287306841262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15680dk2 1960b2 78400w2 320b2 |
Quadratic twists by: -4 8 5 -7 |