Atkin-Lehner |
3- 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37791f |
Isogeny class |
Conductor |
37791 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
1966575880737 = 38 · 132 · 173 · 192 |
Discriminant |
Eigenvalues |
-1 3- -4 0 0 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9032,-321150] |
[a1,a2,a3,a4,a6] |
Generators |
[-450:867:8] [-52:102:1] |
Generators of the group modulo torsion |
j |
111764245610809/2697634953 |
j-invariant |
L |
4.5797623032964 |
L(r)(E,1)/r! |
Ω |
0.4904515541393 |
Real period |
R |
1.5563080813469 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12597a1 |
Quadratic twists by: -3 |