Atkin-Lehner |
2+ 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520t |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-14422440960 = -1 · 210 · 33 · 5 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 2 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-816,10404] |
[a1,a2,a3,a4,a6] |
Generators |
[0:102:1] |
Generators of the group modulo torsion |
j |
-58752499396/14084415 |
j-invariant |
L |
8.7703161426186 |
L(r)(E,1)/r! |
Ω |
1.1920566388745 |
Real period |
R |
0.61310818197278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760b1 |
Quadratic twists by: -4 |