Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112700bb |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-265180846000 = -1 · 24 · 53 · 78 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1307,17268] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-245:1] |
Generators of the group modulo torsion |
j |
1048576/1127 |
j-invariant |
L |
3.18567272334 |
L(r)(E,1)/r! |
Ω |
0.65027597098406 |
Real period |
R |
0.81649250029986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112700y1 16100h1 |
Quadratic twists by: 5 -7 |