Atkin-Lehner |
2+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
41200m |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-206000000000 = -1 · 210 · 59 · 103 |
Discriminant |
Eigenvalues |
2+ 3 5+ 4 -2 2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1675,34250] |
[a1,a2,a3,a4,a6] |
j |
-32482404/12875 |
j-invariant |
L |
7.5237879983832 |
L(r)(E,1)/r! |
Ω |
0.94047349980179 |
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 |
20600c1 8240d1 |
Quadratic twists by: -4 5 |