Atkin-Lehner |
7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
48503h |
Isogeny class |
Conductor |
48503 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-216274877 = -1 · 74 · 133 · 41 |
Discriminant |
Eigenvalues |
1 -1 0 7- 0 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,75,694] |
[a1,a2,a3,a4,a6] |
Generators |
[18:82:1] |
Generators of the group modulo torsion |
j |
20796875/98441 |
j-invariant |
L |
5.2708510854877 |
L(r)(E,1)/r! |
Ω |
1.2732882407173 |
Real period |
R |
0.51744480520319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48503e1 |
Quadratic twists by: 13 |