Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
31974c |
Isogeny class |
Conductor |
31974 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
7358400 |
Modular degree for the optimal curve |
Δ |
-2.0067307758619E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 2 -6 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-233418305,-1372640114572] |
[a1,a2,a3,a4,a6] |
j |
-1743996309667273/248832 |
j-invariant |
L |
0.57937143939503 |
L(r)(E,1)/r! |
Ω |
0.019312381312994 |
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 |
95922k1 31974f1 |
Quadratic twists by: -3 73 |