Atkin-Lehner |
2+ 3- 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190o |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
277110459000000 = 26 · 32 · 56 · 193 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 6 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21070674,-37229416028] |
[a1,a2,a3,a4,a6] |
j |
1034567821035375264648027289/277110459000000 |
j-invariant |
L |
0.84559264396195 |
L(r)(E,1)/r! |
Ω |
0.070466053657828 |
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 |
114570ce4 |
Quadratic twists by: -3 |