Atkin-Lehner |
2+ 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050v |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
-17772480000 = -1 · 29 · 33 · 54 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11- -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11325,-468675] |
[a1,a2,a3,a4,a6] |
j |
-257050376715625/28435968 |
j-invariant |
L |
0.46278803963255 |
L(r)(E,1)/r! |
Ω |
0.23139401981625 |
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 |
84150gl1 28050dj1 |
Quadratic twists by: -3 5 |