Atkin-Lehner |
2+ 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
11214f |
Isogeny class |
Conductor |
11214 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5093028738 = 2 · 38 · 72 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-747,-6885] |
[a1,a2,a3,a4,a6] |
j |
63282696625/6986322 |
j-invariant |
L |
1.8393911219092 |
L(r)(E,1)/r! |
Ω |
0.91969556095459 |
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 |
89712u2 3738d2 78498o2 |
Quadratic twists by: -4 -3 -7 |