Atkin-Lehner |
2+ 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894f |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
3.5240203993718E+22 |
Discriminant |
Eigenvalues |
2+ 2 3 7- -3 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23770366,43673043828] |
[a1,a2,a3,a4,a6] |
Generators |
[1303064885334192186849252:8026688629048180575620937:405979499912477500736] |
Generators of the group modulo torsion |
j |
12625340708173344869593/299536791589543424 |
j-invariant |
L |
8.6930889172625 |
L(r)(E,1)/r! |
Ω |
0.11585500543022 |
Real period |
R |
37.517105475856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842d3 |
Quadratic twists by: -7 |