Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
46240bg |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
7860800 = 26 · 52 · 173 |
Discriminant |
Eigenvalues |
2- -2 5- 4 -6 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-130,-600] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] |
Generators of the group modulo torsion |
j |
778688/25 |
j-invariant |
L |
5.0654580979554 |
L(r)(E,1)/r! |
Ω |
1.4157605564747 |
Real period |
R |
1.7889529676416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46240l1 92480s1 46240v1 |
Quadratic twists by: -4 8 17 |