Atkin-Lehner |
2- 3- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674s |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
493346554866180288 = 26 · 39 · 72 · 134 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4081019,-3172025685] |
[a1,a2,a3,a4,a6] |
j |
10311027240444450437737/676744245358272 |
j-invariant |
L |
5.0985931305249 |
L(r)(E,1)/r! |
Ω |
0.10622069021939 |
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 |
12558c3 |
Quadratic twists by: -3 |