Atkin-Lehner |
2+ 3+ 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190a |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-628668504000 = -1 · 26 · 32 · 53 · 194 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2713,65317] |
[a1,a2,a3,a4,a6] |
j |
-2209648495828249/628668504000 |
j-invariant |
L |
1.7317722226248 |
L(r)(E,1)/r! |
Ω |
0.86588611129401 |
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 |
114570bv1 |
Quadratic twists by: -3 |