Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656ci |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
929280 |
Modular degree for the optimal curve |
Δ |
1088762793359560704 = 212 · 311 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- -6 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1355845,-606038413] |
[a1,a2,a3,a4,a6] |
j |
313944395776/1240029 |
j-invariant |
L |
1.5393695230767 |
L(r)(E,1)/r! |
Ω |
0.1399426839151 |
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 |
2541h1 121968eb1 40656de1 |
Quadratic twists by: -4 -3 -11 |