Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15480d |
Isogeny class |
Conductor |
15480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-25840227871872000 = -1 · 210 · 310 · 53 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25923,-7899122] |
[a1,a2,a3,a4,a6] |
Generators |
[4886:341334:1] |
Generators of the group modulo torsion |
j |
-2580786074884/34615360125 |
j-invariant |
L |
4.5106759536691 |
L(r)(E,1)/r! |
Ω |
0.16095615240601 |
Real period |
R |
3.5030316379977 |
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 |
30960c3 123840ck3 5160n4 77400ba3 |
Quadratic twists by: -4 8 -3 5 |