Atkin-Lehner |
2+ 3+ 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
37506c |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-1772491665798 = -1 · 2 · 310 · 75 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -5 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-91996,-10778546] |
[a1,a2,a3,a4,a6] |
j |
-86106893636412814537/1772491665798 |
j-invariant |
L |
0.27412974837855 |
L(r)(E,1)/r! |
Ω |
0.13706487419578 |
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 |
112518z1 |
Quadratic twists by: -3 |