Atkin-Lehner |
2- 3+ 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190bc |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
26986605468750000 = 24 · 34 · 512 · 19 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7281095,-7565142643] |
[a1,a2,a3,a4,a6] |
Generators |
[11097:-1136174:1] |
Generators of the group modulo torsion |
j |
42688786405892987303754481/26986605468750000 |
j-invariant |
L |
6.3225459026305 |
L(r)(E,1)/r! |
Ω |
0.091907382241208 |
Real period |
R |
1.4331787403008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570q4 |
Quadratic twists by: -3 |