Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15040j |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
13608288256000 = 220 · 53 · 473 |
Discriminant |
Eigenvalues |
2+ -1 5- 5 3 -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11265,-420863] |
[a1,a2,a3,a4,a6] |
j |
603136942849/51911500 |
j-invariant |
L |
2.7957017711538 |
L(r)(E,1)/r! |
Ω |
0.46595029519229 |
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 |
15040bk2 470d2 75200u2 |
Quadratic twists by: -4 8 5 |