Atkin-Lehner |
3+ 13- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15249c |
Isogeny class |
Conductor |
15249 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5169365253 = 32 · 13 · 174 · 232 |
Discriminant |
Eigenvalues |
1 3+ 0 -2 6 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-485,-2436] |
[a1,a2,a3,a4,a6] |
j |
12657482097625/5169365253 |
j-invariant |
L |
2.1081566256605 |
L(r)(E,1)/r! |
Ω |
1.0540783128302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45747m2 |
Quadratic twists by: -3 |