Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15050j |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-707820312500 = -1 · 22 · 59 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1883,-25959] |
[a1,a2,a3,a4,a6] |
Generators |
[44:353:1] |
Generators of the group modulo torsion |
j |
377933067/362404 |
j-invariant |
L |
3.0221666470814 |
L(r)(E,1)/r! |
Ω |
0.49336314935959 |
Real period |
R |
1.5314108132135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120400cg2 15050ba2 105350bn2 |
Quadratic twists by: -4 5 -7 |