Atkin-Lehner |
2- 3+ 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38190x |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
692776147500 = 22 · 32 · 54 · 193 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-146430,21506127] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1941:1] |
Generators of the group modulo torsion |
j |
347227476938910378721/692776147500 |
j-invariant |
L |
8.3613852453123 |
L(r)(E,1)/r! |
Ω |
0.77812285681701 |
Real period |
R |
1.3431981164766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570h2 |
Quadratic twists by: -3 |