Atkin-Lehner |
3+ 7+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40887b |
Isogeny class |
Conductor |
40887 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-354612951 = -1 · 33 · 73 · 11 · 592 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 11+ 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,177,0] |
[a1,a2,a3,a4,a6] |
Generators |
[64:488:1] |
Generators of the group modulo torsion |
j |
22641168789/13133813 |
j-invariant |
L |
4.3561391452397 |
L(r)(E,1)/r! |
Ω |
1.0232822757271 |
Real period |
R |
4.2570258945878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40887e1 |
Quadratic twists by: -3 |