Atkin-Lehner |
3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64251a |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99456 |
Modular degree for the optimal curve |
Δ |
-39587418387 = -1 · 33 · 112 · 594 |
Discriminant |
Eigenvalues |
0 3+ 4 3 11- -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5148,142491] |
[a1,a2,a3,a4,a6] |
j |
-4618385620992/12117361 |
j-invariant |
L |
4.6110703314171 |
L(r)(E,1)/r! |
Ω |
1.1527675816719 |
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 |
64251e1 64251b1 |
Quadratic twists by: -3 -11 |