Atkin-Lehner |
2+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44506a |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
514080 |
Modular degree for the optimal curve |
Δ |
-110098365739788118 = -1 · 2 · 72 · 115 · 178 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 11+ -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4196,15962846] |
[a1,a2,a3,a4,a6] |
Generators |
[-1930:14837:8] [409:8899:1] |
Generators of the group modulo torsion |
j |
-1171657/15782998 |
j-invariant |
L |
8.3297677200392 |
L(r)(E,1)/r! |
Ω |
0.26689306916298 |
Real period |
R |
5.201688542757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44506o1 |
Quadratic twists by: 17 |