Atkin-Lehner |
2+ 3- 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32718d |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7840 |
Modular degree for the optimal curve |
Δ |
-2093952 = -1 · 27 · 3 · 7 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-346,2444] |
[a1,a2,a3,a4,a6] |
j |
-4561907001625/2093952 |
j-invariant |
L |
2.5720509424908 |
L(r)(E,1)/r! |
Ω |
2.5720509424869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98154cd1 |
Quadratic twists by: -3 |