Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
31974f |
Isogeny class |
Conductor |
31974 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-1326025728 = -1 · 210 · 35 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 -2 6 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43802,-3532084] |
[a1,a2,a3,a4,a6] |
j |
-1743996309667273/248832 |
j-invariant |
L |
1.6500505826971 |
L(r)(E,1)/r! |
Ω |
0.16500505826922 |
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 |
95922i1 31974c1 |
Quadratic twists by: -3 73 |