Atkin-Lehner |
2- 3- 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76212o |
Isogeny class |
Conductor |
76212 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-1969176366002854656 = -1 · 28 · 311 · 296 · 73 |
Discriminant |
Eigenvalues |
2- 3- -3 4 -4 -2 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-595704,189409156] |
[a1,a2,a3,a4,a6] |
Generators |
[-736:15138:1] |
Generators of the group modulo torsion |
j |
-125270199006502912/10551570891219 |
j-invariant |
L |
5.7673026312018 |
L(r)(E,1)/r! |
Ω |
0.25699045340299 |
Real period |
R |
0.62338055236083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25404f1 |
Quadratic twists by: -3 |