Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656m |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-1822196622951226368 = -1 · 210 · 34 · 7 · 1112 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-406600,-118930304] |
[a1,a2,a3,a4,a6] |
j |
-4097989445764/1004475087 |
j-invariant |
L |
0.74660275938847 |
L(r)(E,1)/r! |
Ω |
0.093325344911714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20328bd1 121968bp1 3696h1 |
Quadratic twists by: -4 -3 -11 |