Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722bs |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
-12483264266224128 = -1 · 29 · 36 · 138 · 41 |
Discriminant |
Eigenvalues |
2- 3- -4 3 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-740252,-245015585] |
[a1,a2,a3,a4,a6] |
Generators |
[2561:119761:1] |
Generators of the group modulo torsion |
j |
-75437551449/20992 |
j-invariant |
L |
10.176425904081 |
L(r)(E,1)/r! |
Ω |
0.08137995731115 |
Real period |
R |
6.9471281945648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999781094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858b1 124722w1 |
Quadratic twists by: -3 13 |