Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246bj |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-2187746739486 = -1 · 2 · 36 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -7 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3244,-3099] |
[a1,a2,a3,a4,a6] |
j |
24167/14 |
j-invariant |
L |
1.4676439385078 |
L(r)(E,1)/r! |
Ω |
0.48921464616925 |
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 |
121968ga1 1694a1 106722hc1 15246v1 |
Quadratic twists by: -4 -3 -7 -11 |