Atkin-Lehner |
2- 3- 11+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746bi |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-21262077718472448 = -1 · 28 · 310 · 113 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-217998,-39817980] |
[a1,a2,a3,a4,a6] |
j |
-1145727571467951942625/21262077718472448 |
j-invariant |
L |
4.414061952569 |
L(r)(E,1)/r! |
Ω |
0.11035154881435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238bh1 |
Quadratic twists by: -3 |