Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656h |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-577565139224304 = -1 · 24 · 37 · 7 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11- -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5284,-1148541] |
[a1,a2,a3,a4,a6] |
j |
575511296/20376279 |
j-invariant |
L |
0.4975566528374 |
L(r)(E,1)/r! |
Ω |
0.24877832644626 |
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 |
20328bb1 121968bf1 3696c1 |
Quadratic twists by: -4 -3 -11 |