Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298cf |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-7819107795808228854 = -1 · 2 · 37 · 1110 · 413 |
Discriminant |
Eigenvalues |
2- 3- 3 4 11- -5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3889931,-2955073327] |
[a1,a2,a3,a4,a6] |
j |
-344266624273/413526 |
j-invariant |
L |
8.706985547869 |
L(r)(E,1)/r! |
Ω |
0.053746825365961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
81 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766w2 89298bg2 |
Quadratic twists by: -3 -11 |