Atkin-Lehner |
2+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
12826a |
Isogeny class |
Conductor |
12826 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61776 |
Modular degree for the optimal curve |
Δ |
-63985268542976 = -1 · 29 · 119 · 53 |
Discriminant |
Eigenvalues |
2+ -3 1 -2 11+ -3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21379,-1257899] |
[a1,a2,a3,a4,a6] |
j |
-458314011/27136 |
j-invariant |
L |
0.39347187397355 |
L(r)(E,1)/r! |
Ω |
0.19673593698678 |
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 |
102608j1 115434bn1 12826e1 |
Quadratic twists by: -4 -3 -11 |