Atkin-Lehner |
2+ 3- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
32376c |
Isogeny class |
Conductor |
32376 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-160871940864 = -1 · 28 · 38 · 19 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,991,-14781] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1278:1] |
Generators of the group modulo torsion |
j |
420016544768/628406019 |
j-invariant |
L |
8.5892143180545 |
L(r)(E,1)/r! |
Ω |
0.54140508380083 |
Real period |
R |
0.24788550705404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64752b1 97128k1 |
Quadratic twists by: -4 -3 |