Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218by |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-175611691008 = -1 · 214 · 37 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 1 3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-266,20297] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:151:1] |
Generators of the group modulo torsion |
j |
-16835377/1425408 |
j-invariant |
L |
10.739049182178 |
L(r)(E,1)/r! |
Ω |
0.83587158311239 |
Real period |
R |
0.22942368116112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29406j1 88218q1 |
Quadratic twists by: -3 13 |