Atkin-Lehner |
2- 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722ca |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
267321600 |
Modular degree for the optimal curve |
Δ |
-3.8542924246135E+26 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 0 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10337478053,404551646006109] |
[a1,a2,a3,a4,a6] |
Generators |
[1581213:1010920:27] |
Generators of the group modulo torsion |
j |
-15803373870358324067917/49857094113536 |
j-invariant |
L |
13.205167808295 |
L(r)(E,1)/r! |
Ω |
0.046644761669556 |
Real period |
R |
2.5276853937237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000104898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858f1 124722y1 |
Quadratic twists by: -3 13 |