Atkin-Lehner |
3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36975u |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-7556321925 = -1 · 36 · 52 · 17 · 293 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 -4 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47218,-3953143] |
[a1,a2,a3,a4,a6] |
j |
-465700862024723785/302252877 |
j-invariant |
L |
0.9716141872615 |
L(r)(E,1)/r! |
Ω |
0.16193569787148 |
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 |
110925bf1 36975q1 |
Quadratic twists by: -3 5 |