Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bf |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
10386432 |
Modular degree for the optimal curve |
Δ |
-5.7467375388255E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 -5 -3 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15557537,-23904021825] |
[a1,a2,a3,a4,a6] |
Generators |
[69475:18282240:1] |
Generators of the group modulo torsion |
j |
-20285403817/279936 |
j-invariant |
L |
5.8206952422071 |
L(r)(E,1)/r! |
Ω |
0.037977629566256 |
Real period |
R |
1.8246002102327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568cl1 3174c1 101568bo1 |
Quadratic twists by: -4 8 -23 |