Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
858a |
Isogeny class |
Conductor |
858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16490207448 = 23 · 38 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-754,4732] |
[a1,a2,a3,a4,a6] |
j |
47504791830313/16490207448 |
j-invariant |
L |
1.1358111271594 |
L(r)(E,1)/r! |
Ω |
1.1358111271594 |
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 |
6864u3 27456bc3 2574t3 21450cp3 |
Quadratic twists by: -4 8 -3 5 |