Atkin-Lehner |
2+ 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bg |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
76232899353600 = 210 · 38 · 52 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19800,980100] |
[a1,a2,a3,a4,a6] |
j |
838380677032804/74446190775 |
j-invariant |
L |
4.7715745588245 |
L(r)(E,1)/r! |
Ω |
0.59644682922448 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40920k3 |
Quadratic twists by: -4 |