Atkin-Lehner |
2+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608d |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
713728 = 210 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 1 2 -3 4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57,143] |
[a1,a2,a3,a4,a6] |
Generators |
[26:13:8] |
Generators of the group modulo torsion |
j |
20353792/697 |
j-invariant |
L |
7.9386978984495 |
L(r)(E,1)/r! |
Ω |
2.8379562638032 |
Real period |
R |
2.7973291906279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44608ba1 2788a1 |
Quadratic twists by: -4 8 |