Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218bs |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-17466582997663488 = -1 · 28 · 39 · 132 · 295 |
Discriminant |
Eigenvalues |
2- 3+ -4 -5 -3 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,53593,4185055] |
[a1,a2,a3,a4,a6] |
Generators |
[91:-3178:1] |
Generators of the group modulo torsion |
j |
5117731739757/5250854144 |
j-invariant |
L |
2.7266983474716 |
L(r)(E,1)/r! |
Ω |
0.25694564874094 |
Real period |
R |
0.13264956812656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218f1 88218k1 |
Quadratic twists by: -3 13 |