Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bl |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-18079200000000000 = -1 · 214 · 36 · 511 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-259248,51216928] |
[a1,a2,a3,a4,a6] |
Generators |
[556424931:6385509805:1225043] |
Generators of the group modulo torsion |
j |
-161332732109824/1513671875 |
j-invariant |
L |
5.962686676765 |
L(r)(E,1)/r! |
Ω |
0.38984527573581 |
Real period |
R |
15.29500817805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280ea1 11160q1 9920m1 |
Quadratic twists by: -4 8 -3 |