Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576bg |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-2754843294653558784 = -1 · 212 · 37 · 139 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 4 -2 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,297384,49806448] |
[a1,a2,a3,a4,a6] |
Generators |
[105476:4476564:343] |
Generators of the group modulo torsion |
j |
974067452145152/922591445451 |
j-invariant |
L |
10.935763790924 |
L(r)(E,1)/r! |
Ω |
0.16732746791609 |
Real period |
R |
8.1694326163568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108576bh1 36192q1 |
Quadratic twists by: -4 -3 |