Atkin-Lehner |
2+ 3+ 5+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970b |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-33550495704000000 = -1 · 29 · 33 · 56 · 114 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89175,-13495139] |
[a1,a2,a3,a4,a6] |
j |
-2904638178694683627/1242610952000000 |
j-invariant |
L |
0.54125490525097 |
L(r)(E,1)/r! |
Ω |
0.13531367744087 |
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 |
101970bm2 |
Quadratic twists by: -3 |