Atkin-Lehner |
2- 3+ 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190ba |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-6521874549052538880 = -1 · 220 · 32 · 5 · 193 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1525815,735135117] |
[a1,a2,a3,a4,a6] |
j |
-392852363268392801368561/6521874549052538880 |
j-invariant |
L |
2.3797357118823 |
L(r)(E,1)/r! |
Ω |
0.23797357119304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114570l1 |
Quadratic twists by: -3 |