Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162v |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
121968 |
Modular degree for the optimal curve |
Δ |
-1877582152728576 = -1 · 222 · 311 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -5 6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-54110,-5296741] |
[a1,a2,a3,a4,a6] |
j |
-48534394252061881/5201058594816 |
j-invariant |
L |
3.4225719153764 |
L(r)(E,1)/r! |
Ω |
0.15557145069893 |
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 |
121296cq1 45486s1 106134cy1 15162n1 |
Quadratic twists by: -4 -3 -7 -19 |