Atkin-Lehner |
2+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44506b |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
191909872 = 24 · 73 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 11- -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3465,77077] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-22:1] [22:99:1] |
Generators of the group modulo torsion |
j |
15926905797625/664048 |
j-invariant |
L |
5.5039034100374 |
L(r)(E,1)/r! |
Ω |
1.6828518973208 |
Real period |
R |
0.8176452453718 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44506k1 |
Quadratic twists by: 17 |