Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218ca |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-19696857875974656 = -1 · 29 · 36 · 137 · 292 |
Discriminant |
Eigenvalues |
2- 3- -3 3 -4 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,65371,2035037] |
[a1,a2,a3,a4,a6] |
Generators |
[205:-5004:1] |
Generators of the group modulo torsion |
j |
8780064047/5597696 |
j-invariant |
L |
8.3056332956869 |
L(r)(E,1)/r! |
Ω |
0.23976865177523 |
Real period |
R |
0.48111384539584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9802b1 6786c1 |
Quadratic twists by: -3 13 |