Atkin-Lehner |
2- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
7826n |
Isogeny class |
Conductor |
7826 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-3908367008 = -1 · 25 · 75 · 132 · 43 |
Discriminant |
Eigenvalues |
2- -3 0 7- 1 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-165,-3075] |
[a1,a2,a3,a4,a6] |
Generators |
[35:164:1] |
Generators of the group modulo torsion |
j |
-493975742625/3908367008 |
j-invariant |
L |
4.0853863740441 |
L(r)(E,1)/r! |
Ω |
0.58744473532467 |
Real period |
R |
0.13909006680556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62608s1 70434l1 54782bj1 101738i1 |
Quadratic twists by: -4 -3 -7 13 |