Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dx |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2296072396800 = -1 · 213 · 36 · 52 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,933,72074] |
[a1,a2,a3,a4,a6] |
Generators |
[53:520:1] |
Generators of the group modulo torsion |
j |
30080231/768950 |
j-invariant |
L |
6.5860932618325 |
L(r)(E,1)/r! |
Ω |
0.61521211646711 |
Real period |
R |
0.44605843289278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8190bx1 7280m1 |
Quadratic twists by: -4 -3 |