Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138s |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2716234523120376 = -1 · 23 · 39 · 297 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 0 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1102709,-445427963] |
[a1,a2,a3,a4,a6] |
j |
-12665630691/232 |
j-invariant |
L |
1.7679302400992 |
L(r)(E,1)/r! |
Ω |
0.073663760004132 |
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 |
121104bj2 15138b1 522c2 |
Quadratic twists by: -4 -3 29 |