Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89570s |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-519636156406250 = -1 · 2 · 57 · 137 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -4 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22396,-1695110] |
[a1,a2,a3,a4,a6] |
Generators |
[5211264979043788716:129651141024658261249:7658886486056896] |
Generators of the group modulo torsion |
j |
-257380823881/107656250 |
j-invariant |
L |
10.886589057795 |
L(r)(E,1)/r! |
Ω |
0.19121615495841 |
Real period |
R |
28.466708422632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890c1 |
Quadratic twists by: 13 |