Atkin-Lehner |
2+ 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
83496f |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-4891670728108690176 = -1 · 28 · 33 · 711 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -3 -3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1216980,527178672] |
[a1,a2,a3,a4,a6] |
Generators |
[-264:28812:1] |
Generators of the group modulo torsion |
j |
-6618295997667664/162416074779 |
j-invariant |
L |
7.7133648520217 |
L(r)(E,1)/r! |
Ω |
0.24290231212376 |
Real period |
R |
1.3231253308068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11928a1 |
Quadratic twists by: -7 |