Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688v |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-306489609216 = -1 · 210 · 38 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -3 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1192,30596] |
[a1,a2,a3,a4,a6] |
Generators |
[2:168:1] [32:162:1] |
Generators of the group modulo torsion |
j |
-76247332/124659 |
j-invariant |
L |
9.0914538670772 |
L(r)(E,1)/r! |
Ω |
0.86844240177771 |
Real period |
R |
0.10904884912906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344z1 44688q1 |
Quadratic twists by: -4 -7 |