Atkin-Lehner |
2- 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
37080p |
Isogeny class |
Conductor |
37080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
436800 |
Modular degree for the optimal curve |
Δ |
-6006960000000 = -1 · 210 · 36 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2286723,-1330970578] |
[a1,a2,a3,a4,a6] |
j |
-1771482665596654084/8046875 |
j-invariant |
L |
3.0692776239156 |
L(r)(E,1)/r! |
Ω |
0.061385552478806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74160i1 4120c1 |
Quadratic twists by: -4 -3 |