Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
10146s |
Isogeny class |
Conductor |
10146 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1878968178 = 2 · 34 · 194 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1017,-12393] |
[a1,a2,a3,a4,a6] |
Generators |
[294:-33:8] |
Generators of the group modulo torsion |
j |
116335767754513/1878968178 |
j-invariant |
L |
8.0045567577763 |
L(r)(E,1)/r! |
Ω |
0.84623761648505 |
Real period |
R |
2.3647485652506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81168bt4 30438h4 |
Quadratic twists by: -4 -3 |