Atkin-Lehner |
2+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
41200i |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-128750000000000 = -1 · 210 · 513 · 103 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 6 -2 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6352008,-6159783488] |
[a1,a2,a3,a4,a6] |
j |
-1771482665596654084/8046875 |
j-invariant |
L |
1.5215694236403 |
L(r)(E,1)/r! |
Ω |
0.047549044489631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20600m1 8240c1 |
Quadratic twists by: -4 5 |