Atkin-Lehner |
2+ 3+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
64752b |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65536 |
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] |
j |
420016544768/628406019 |
j-invariant |
L |
2.7775852611748 |
L(r)(E,1)/r! |
Ω |
0.69439631754134 |
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 |
32376c1 |
Quadratic twists by: -4 |