Atkin-Lehner |
2+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44608r |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-26402226176 = -1 · 217 · 173 · 41 |
Discriminant |
Eigenvalues |
2+ 1 1 4 1 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-545,-9409] |
[a1,a2,a3,a4,a6] |
Generators |
[29:4:1] |
Generators of the group modulo torsion |
j |
-136835858/201433 |
j-invariant |
L |
8.7728212773943 |
L(r)(E,1)/r! |
Ω |
0.46922672647076 |
Real period |
R |
3.1160562625273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44608bo1 5576e1 |
Quadratic twists by: -4 8 |