Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328bw |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
835584 |
Modular degree for the optimal curve |
Δ |
-5422839905665437696 = -1 · 212 · 323 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -6 3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,101733,-111341302] |
[a1,a2,a3,a4,a6] |
j |
38996155237031/1816098112269 |
j-invariant |
L |
1.3871736470729 |
L(r)(E,1)/r! |
Ω |
0.11559780392649 |
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 |
2583d1 13776i1 |
Quadratic twists by: -4 -3 |