Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246u |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
-1.6271011084857E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -5 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1144743,774161405] |
[a1,a2,a3,a4,a6] |
j |
-8773917273/8605184 |
j-invariant |
L |
0.82770957164861 |
L(r)(E,1)/r! |
Ω |
0.16554191432972 |
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 |
121968em1 1694j1 106722dj1 15246bi1 |
Quadratic twists by: -4 -3 -7 -11 |