Atkin-Lehner |
2- 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410cn |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-138695303140625000 = -1 · 23 · 59 · 76 · 11 · 193 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19405,17940075] |
[a1,a2,a3,a4,a6] |
Generators |
[293:5978:1] |
Generators of the group modulo torsion |
j |
-6868751617729/1178890625000 |
j-invariant |
L |
8.8114634053748 |
L(r)(E,1)/r! |
Ω |
0.26758385280124 |
Real period |
R |
0.60980977313926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999800966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2090m2 |
Quadratic twists by: -7 |