Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218bw |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
526848 |
Modular degree for the optimal curve |
Δ |
-28565668550899584 = -1 · 27 · 313 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -2 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1553,-8131327] |
[a1,a2,a3,a4,a6] |
Generators |
[309:4408:1] |
Generators of the group modulo torsion |
j |
-117649/8118144 |
j-invariant |
L |
8.847619338329 |
L(r)(E,1)/r! |
Ω |
0.17059080323249 |
Real period |
R |
1.8523062143615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29406i1 522d1 |
Quadratic twists by: -3 13 |