Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
858d |
Isogeny class |
Conductor |
858 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-119573538788081664 = -1 · 239 · 32 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80722,18827108] |
[a1,a2,a3,a4,a6] |
j |
-58169016237585194137/119573538788081664 |
j-invariant |
L |
1.7694033452319 |
L(r)(E,1)/r! |
Ω |
0.29490055753866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6864o2 27456e2 2574v2 21450bt2 |
Quadratic twists by: -4 8 -3 5 |