Atkin-Lehner |
2- 3- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
51792q |
Isogeny class |
Conductor |
51792 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-3462499378151424 = -1 · 214 · 37 · 132 · 833 |
Discriminant |
Eigenvalues |
2- 3- -1 2 1 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-817016,283987668] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:19422:1] |
Generators of the group modulo torsion |
j |
-14725022956601670649/845336762244 |
j-invariant |
L |
7.6568107469335 |
L(r)(E,1)/r! |
Ω |
0.42138340417619 |
Real period |
R |
0.21631727303292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6474d1 |
Quadratic twists by: -4 |