Atkin-Lehner |
7- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
56693d |
Isogeny class |
Conductor |
56693 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-299055404921 = -1 · 76 · 134 · 89 |
Discriminant |
Eigenvalues |
-1 -1 -3 7- 2 13- 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,293,-26118] |
[a1,a2,a3,a4,a6] |
Generators |
[27:35:1] [48:-343:1] |
Generators of the group modulo torsion |
j |
23639903/2541929 |
j-invariant |
L |
4.4880661212963 |
L(r)(E,1)/r! |
Ω |
0.46047759796849 |
Real period |
R |
0.60915912917081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1157b1 |
Quadratic twists by: -7 |